SELIGMAN FRONTIER FUND INC
N-30B-2, 1996-03-06
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TO THE SHAREHOLDERS

We are pleased to update you on Seligman  Frontier  Fund with this First Quarter
Report.  

     For CLASS A and D shares,  net  realized  gain per  share  from  investment
transactions  for the three months ended December 31, 1995,  totaled $0.20.  Net
unrealized  gain per  share  totaled  $1.51 at  December  31.  A  realized  gain
distribution  of $0.477 per share was paid on November 17, 1995, to shareholders
of record November 13, 1995.

     After a slow start, the small-cap  market--as did all equity markets--had a
strong  year in 1995,  due to many  factors  including  low  inflation,  falling
interest rates, and strong corporate earnings.

     All equity markets, however, did teeter towards the end of the year, due in
part to the Federal budget stalemate between the White House and Congress, which
brought  on fears of higher  interest  rates and  inflation.  Nevertheless,  the
deadlock in  Washington  did not deter the Federal  Reserve  Board from lowering
short-term  interest rates on December 19--a move that quickly  rejuvenated  the
markets.  Despite this, the small-cap  market,  as measured by the Russell 2000,
had a weak fourth quarter relative to the large-cap  market,  as measured by the
Standard & Poor's 500  Composite  Stock Price Index (S&P 500).  This was because
the Russell  2000 has a heavier  weighting in  technology  than the S&P 500, and
technology was the weakest performing sector in the fourth quarter.

     In  the  past  three  months,  your  Fund's  technology   holdings,   which
represented 25% of the portfolio, remained under pressure, due mainly to pricing
pressure on certain  types of memory  chips,  slower unit growth in the cellular
phone market,  and the general market  reaction after mid-year  highs.  However,
fundamentals  within the  technology  sector remain strong and we continue to be
positive on the sector. In addition, retail and trucking had a tough quarter, as
both  sectors  were  adversely  affected by a mediocre  holiday  season.  On the
upside,  your Fund's positions in business goods and services were  particularly
strong.  One notable area that your Manager  selectively added to was the health
care sector, specifically medical technology and services.

     Going forward,  your Manager remains optimistic and will continue to strive
to maintain your Fund's excellent performance record.

     In closing,  the slowing  economy,  the budget  negotiations,  and the 1996
Presidential  election  are a few of the factors that may create  somewhat  more
volatile  markets in the year ahead.  We remain  optimistic  about the small-cap
market and your Fund's  performance.  We will continue to search for, and invest
in,  those  companies  that can sustain  earnings  growth in a  challenging  and
competitive  global  business  environment--a  strategy  we  believe  is  key to
investment performance.

     We thank you for your continued  investment in Seligman  Frontier Fund, and
look forward to serving your investment needs in 1996 and the years ahead.

     By order of the Board of Directors,

/s/ William C. Morris
William C. Morris
Chairman

        /s/ Brian T. Zino
        Brian T. Zino
        President


February 2, 1996


Important Telephone Numbers
- ---------------------------
(800) 221-2450 SHAREHOLDER SERVICES
(800) 445-1777 RETIREMENT PLAN SERVICES
(800) 622-4597 24-HOUR AUTOMATED 
               TELEPHONE 
               ACCESS SERVICE


                                       1
<PAGE>
PORTFOLIO OF INVESTMENTS (unaudited)

                                     SHARES            VALUE
                                     ------           ------

COMMON STOCKS    91.6%

ADVERTISING   2.2%
DIMAC* ........................      171,100       $ 4,662,475
Heritage Media (Class A)* .....      168,000         4,305,000
Katz Media Group* .............      156,000         2,749,500
                                                   -----------
                                                    11,716,975
                                                   -----------


AEROSPACE AND DEFENSE   1.5%
BDM International*                   275,000         7,975,000
                                                   -----------

APPAREL    1.0%
St. John Knits ................       98,500         5,232,813
                                                   -----------

BROADCASTING    2.7%
Argyle Television .............      130,000         2,242,500
Evergreen Media (Class A)* ....      200,000         6,400,000
Jacor Communications* .........      180,000         3,060,000
United Video Satellite
  Group (Class A)* ...........       90,000         2,452,500
                                                   -----------
                                                    14,155,000
                                                   -----------

BUSINESS GOODS AND SERVICES    15.7%
Barefoot ......................      290,000         2,990,625
Bell & Howell Holdings* .......      186,800         5,230,400
Bisys Group* ..................      220,000         6,710,000
Ceridian* .....................      155,000         6,393,750
Corporate Express* ............      260,000         7,800,000
DST Systems* ..................      215,000         6,127,500
HFS Group* ....................       65,000         5,313,750
Inter-Tel* ....................      325,000         5,037,500
National Data .................      240,000         5,970,000
Nu-Kote Holdings (Class A)* ...      310,000         5,308,750
SITEL* ........................      309,000         9,424,500
SPS Transaction Services* .....      100,000         2,962,500
US Office Products* ...........      350,000         7,896,875
United Transnet* ..............      370,000         5,688,750
                                                   -----------
                                                    82,854,900
                                                   -----------

CAPITAL GOODS    5.3%
Carbide/Graphite Group* .......      400,000         5,750,000
DT Industries .................      190,000         2,517,500
Fusion Systems* ...............      110,000         3,052,500
Greenfield Industries .........      100,000         3,112,500
Oak Industries* ...............      150,000         2,812,500
UCAR International* ...........      215,000         7,256,250
Wolverine Tube* ...............       90,000         3,358,125
                                                   -----------
                                                    27,859,375
                                                   -----------

COMMUNICATIONS    6.4%
ADFlex Solutions* .............      183,000         4,849,500
Arch Communications Group* ....      220,000         5,293,750
Aspect Telecommunications* ....      180,000         6,007,500
Cellular Communications Intl.*.       15,000           751,875
Cidco* ........................      231,200         5,866,700
Madge Networks* ...............       99,090         4,415,698
MobileMedia (Class A)* ........      150,000         3,318,750
ProNet* .......................      100,000         2,956,250
                                                   -----------
                                                    33,460,023
                                                   -----------

COMPUTER HARDWARE
  PERIPHERALS    2.4%
Electronics for Imaging* ......      120,000         5,205,000
Planar System* ................      390,000         7,458,750
                                                   -----------
                                                    12,663,750
                                                   -----------

COMPUTER SOFTWARE
  AND SERVICES    4.6%
Mentor Graphics* ..............      280,000         5,075,000
Netmanage* ....................      250,000         5,781,250
Oak Technology* ...............       24,000         1,023,000
SunGard Data Systems* .........      150,000         4,218,750
Synopsys* .....................      210,000         8,006,250
                                                   -----------
                                                    24,104,250
                                                   -----------

CONSUMER GOODS AND
  SERVICES    4.3%
Buckeye Cellulose* ............      350,000         7,700,000
Oakley* .......................      270,000         9,180,000
ThermoLase* ...................      200,000         5,175,000
USA Detergents* ...............       33,000           771,375
                                                   -----------
                                                    22,826,375
                                                   -----------

DRUGS AND HEALTH CARE    9.0%
AmeriSource Health* ...........      182,000         6,006,000
Clintrials Research* ..........      175,000         3,543,750
Community Psychiatric Centers .      435,000         5,328,750
National Surgery Centers* .....      130,000         2,957,500
Omnicare ......................      175,000         7,831,250
Protein Design Labs* ..........      132,000         3,036,000
Scherer (R.P.)* ...............       87,300         4,283,156
Total Renal Care Holdings* ....      310,000         9,145,000
Vivra .........................      202,500         5,087,813
                                                   -----------
                                                    47,219,219
                                                   -----------

ELECTRONICS    16.0%
Cognex* .......................      380,000        13,300,000
Credence Systems* .............      250,000         5,687,500


                                       2
<PAGE>
                                     Shares            Value
                                     ------            -----
Cypress Semiconductors* .......      450,000       $ 5,737,500
Electro Scientific Industries*.      180,000         5,197,500
Electroglas* ..................      244,000         6,161,000
Information Storage Device* ...      325,000         3,575,000
Lam Research* .................      150,000         6,843,750
Lattice Semiconductor* ........      140,000         4,576,250
Microchip Technology* .........      139,000         5,090,875
Sanmina* ......................      140,000         7,280,000
Semitool* .....................       50,000           646,875
Silicon Valley Group* .........       26,000           658,125
Tencor Instruments* ...........      200,000         4,875,000
Ultratech Stepper* ............      126,000         3,244,500
Vicor* ........................      370,000         7,353,750
Xilinx* .......................      100,000         3,037,500
Zilog* ........................       22,000           807,125
                                                   -----------
                                                    84,072,250
                                                   -----------

FARM EQUIPMENT    1.0%
AGCO ..........................      105,000         5,355,000
                                                   -----------

FINANCIAL SERVICES    7.3%
Commerce Bancorp ..............      115,000         2,537,187
First Investors Financial
  Services Group* .............      150,000         1,237,500
First Savings Bank of
  Washington* .................      150,000         1,968,750
Flushing Financial* ...........      150,000         2,287,500
GCR Holdings* .................      160,000         3,580,000
Jayhawk Acceptance* ...........      350,000         3,281,250
Klamath First Bancorp* ........      150,000         2,034,375
Leasing Solutions* ............      180,000         2,722,500
Meadowbrook* ..................      168,100         5,631,350
T. Rowe Price .................      105,000         5,145,000
Roosevelt Financial Group .....      300,000         5,775,000
Statewide Financial* ..........      150,000         1,950,000
                                                   -----------
                                                    38,150,412
                                                   -----------

FOOD AND BEVERAGEs    0.6%
Canandaigua Wine (Class A)* ...      100,000         3,275,000
                                                   -----------

GAMING  1.0%
GTECH Holdings* ...............      200,000         5,200,000
                                                   -----------

MEDICAL PRODUCTS AND
TECHNOLOGY    2.3%
Dentsply International ........      215,000         8,586,562
Sybron International* .........      150,000         3,562,500
                                                   -----------
                                                    12,149,062
                                                   -----------

                                     SHARES OR
                                     PRIN. AMT.        VALUE
                                     ----------        -----
OIL AND GAS    2.0%
Falcon Drilling* ..............      330,000shs.  $  4,888,125
Pogo Producing ................      200,000         5,650,000
                                                  ------------
                                                    10,538,125
                                                  ------------

RESTAURANTS    1.5%
Consolidated Products* ........      114,000         1,702,875
Longhorn Steaks* ..............      335,000         6,071,875
                                                  ------------
                                                     7,774,750
                                                  ------------

RETAIL TRADE    0.9%
Casey's General Store .........      220,000         4,798,750
                                                  ------------

SPECIALTY CHEMICALS    1.9%
Mineral Technologies ..........      180,000         6,570,000
Sealed Air* ...................      130,000         3,656,250
                                                  ------------
                                                    10,226,250
                                                  ------------

UTILITIES    2.0%
California Energy* ............      550,000        10,725,000
                                                  ------------

TOTAL COMMON STOCKS
        (Cost $423,263,631)  ..                    482,332,279
                                                  ------------

SHORT-TERM HOLDINGS    9.2%
Bank of Montreal, 
  Toronto Fixed
  Time Deposit 5 5/8%, 
  1/2/96 ......................  $23,240,000        23,240,000
First National Bank of 
  Chicago, Grand Cayman 
  Fixed Time Deposit 
  5 13/16%, 1/2/96 ............   25,000,000        25,000,000
                                                  ------------

TOTAL SHORT-TERM HOLDINGS
        (Cost  $48,240,000) ...                     48,240,000
                                                  ------------

TOTAL INVESTMENTS    100.8%
        (Cost  $471,503,631) ..                    530,572,279

OTHER ASSETS LESS
LIABILITIES    (0.8)% .........                     (4,033,406)
                                                  ------------
NET ASSETS    100.0% ..........                   $526,538,873
                                                  ============

- --------------------
* Non-income producing security.

Note:  Investments  in stocks are valued at current  market  values or, in their
absence,  at fair value determined in accordance with procedures approved by the
Board of Directors.  Securities traded on national  exchanges are valued at last
sales  prices  or,  in  their  absence  and  in  the  case  of  over-the-counter
securities,  a mean of bid and asked prices. Short- term holdings maturing in 60
days or less are valued at amortized cost.


                                       3
<PAGE>

SELIGMAN FRONTIER FUND

INVESTMENT RESULTS
TOTAL RETURNS*
For Periods Ended December 31, 1995

                                        AVERAGE ANNUAL
                        ---------------------------------------------------
                                                                  CLASS D
                        THREE       ONE      FIVE       TEN        SINCE
                        MONTHS      YEAR     YEARS     YEARS     INCEPTION+
                        ------     ------    ------    -----     ---------
CLASS A
With Sales Charge       (4.20)%    29.90%    24.97%    16.02%       n/a
Without Sales Charge     0.57      36.43     26.19     16.59        n/a

CLASS D
With CDSL               (0.61)     34.24      n/a       n/a         n/a
Without CDSL             0.36      35.24      n/a       n/a        26.22%


RUSSELL 2000**           2.17      28.44     20.99     11.32       15.80

- --------------------------------------------------------------------------------
NET ASSET VALUE PER SHARE


                   DECEMBER 31, 1995   SEPTEMBER 30, 1995   DECEMBER 31, 1994
CLASS A                  $13.64              $14.04              $10.35
CLASS D                   13.18               13.61               10.10

- --------------------------------------------------------------------------------
 *   The  returns  for Class A shares are shown  with and  without  the  maximum
     initial sales charge of 4.75%.  No adjustment was made to  performance  for
     periods  prior  to June 1,  1992,  the  commencement  date  for the  annual
     Administration,  Shareholder  Services and  Distribution  Plan fee of up to
     0.25% of  average  daily  net  assets of Class A shares.  The  returns  for
     periods of one year or less for Class D shares  are shown with and  without
     the effect of the 1% contingent  deferred  sales load  ("CDSL")  imposed on
     certain shares redeemed within one year of purchase.

**   The  Russell  2000  is an  unmanaged  index  and  assumes  reinvestment  of
     estimated  dividends and does not reflect fees and expenses.  Investors may
     not invest directly in an index.

 +   May 3, 1993.

     ---------------------------------------------------------------------------
THESE RATES OF RETURN REFLECT CHANGES IN PRICE AND ASSUME THAT ALL DISTRIBUTIONS
WITHIN THE PERIOD ARE REINVESTED IN ADDITIONAL  SHARES. THE RATES OF RETURN WILL
VARY  AND  THE  PRINCIPAL  VALUE  OF AN  INVESTMENT  WILL  FLUCTUATE.SHARES,  IF
REDEEMED,  MAY BE WORTH MORE OR LESS THAN THEIR ORIGINAL COST. PAST  PERFORMANCE
IS NOT INDICATIVE OF FUTURE INVESTMENT RESULTS.


                                       4
<PAGE>

LARGEST PORTFOLIO CHANGES*
DURING PAST THREE MONTHS

                                                  SHARES
                                        ----------------------------
                                                          HOLDINGS
ADDITIONS                               INCREASE          12/31/95
- ------------                            -----------    -------------
ADFlex Solutions ..............          183,000          183,000
Buckeye Cellulose .............          350,000          350,000
Cypress Semiconductors ........          450,000          450,000
DST Systems ...................          215,000          215,000
Microchip Technology ..........          139,000          139,000
Oakley ........................          270,000          270,000
Total Renal Care Holdings .....          310,000          310,000
United Transnet ...............          370,000          370,000
Vivra .........................          202,500          202,500
Xilinx ........................          100,000          100,000



                                                          HOLDINGS
REDUCTIONS                               DECREASE         12/31/95
- --------------                          -----------    -------------
Electronics for Imaging .......           91,000          120,000**
Holophane .....................          127,000             --
Interim Services ..............          100,000             --
Kennametal ....................          100,000             --
Lincare Holdings ..............          120,000             --
Living Centers of America .....          110,000             --
Martin Industries .............          290,000             --
Nautica Enterprises ...........           87,000             --
Sirrom Capital ................          250,000             --
USA Detergents ................          167,000           33,000

- -------------------------  

 *   Largest  portfolio changes from the previous quarter to the current quarter
     are based on cost of purchases and proceeds from sales of securities.
       
**   Includes 61,000 shares received as a result of a 2-for-1 stock split.

MAJOR PORTFOLIO HOLDINGS
AT DECEMBER 31, 1995

SECURITY                                                    VALUE
- --------                                                -----------
Cognex ...............................................  $13,300,000
California Energy ....................................   10,725,000
SITEL ................................................    9,424,500
Oakley ...............................................    9,180,000
Total Renal Care Holdings ............................    9,145,000
Dentsply International ...............................    8,586,562
Synopsys .............................................    8,006,250
BDM International ....................................    7,975,000
US Office Products ...................................    7,896,875
Omnicare .............................................    7,831,250

          
                                       5
<PAGE>

                              FIRST QUARTER REPORT
                                    SELIGMAN
                                    FRONTIER
                                   FUND, INC.

                               DECEMBER 31, 1995
                                     [LOGO]
                          A CAPITAL APPRECIATION FUND
                              ESTABLISHED IN 1984

                       Seligman Financial Services, Inc.
                                an affiliate of
                      J. & W. Seligman & Co. incorporated
                                established 1864
                      100 Park Avenue, New York, NY 10017

This report is intended only for the  information of  shareholders  or those who
have  received  the  offering  prospectus  covering  shares of Capital  Stock of
Seligman  Frontier  Fund,  Inc.,  which  contains  information  about  the sales
charges,  management fee, and other costs. Please read the prospectus  carefully
before investing or sending money.

                                                                    EQFR3a 12/95




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