SELIGMAN HENDERSON GLOBAL FUND SERIES INC
24F-2NT, 1995-12-21
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                        U.S. SECURITIES AND EXCHANGE COMMISSION
                                  Washington, D.C. 20549

                                       FORM 24F-2
 

                            Annual Notice of Securities Sold
                                 Pursuant to Rule 24f-2




1.      Name and address of issuer: Seligman Henderson Global Fund Series, Inc.
                                    100 Park Avenue
                                    New York, NY 10017


2.      Name of each series or class of funds for which this notice is filed:
                Seligman Henderson Global Smaller Companies Fund Class A
                Seligman Henderson Global Smaller Companies Fund Class D
                Seligman Henderson Global Technology Fund Class A
                Seligman Henderson Global Technology Fund Class D
                Seligman Henderson International Fund Class A
                Seligman Henderson International Fund Class D

3.      Investment Company Act File Number:                     811-6485



        Securities Act File Number:                             33-44186


4.      Last day of fiscal year for which this notice is filed: 10/31/95




5. Check box if this notice is being filed more than 180 days after the close of
the issuer's  fiscal year for purposes of  reporting  securities  sold after the
close  of  the  fiscal  year  but  before  termination  of  the  issuer's  24f-2
declaration:
                                                                [      ]



6. Date of  termination  of  issuer's  declaration  under rule  24f-2(a)(1),  if
applicable:




7. Number and amount of  securities  of the same class or series  which had been
registered under the Securities Act of 1933 other than pursuant to rule 24f-2 in
a prior fiscal year,  but which  remained  unsold at the beginning of the fiscal
year:



8. Number and amount of securities  registered during the fiscal year other than
pursuant to rule 24f-2:




9. Number and aggregate sale price of securities sold during the fiscal year:

                                                   SHARES       SALE PRICE
Seligman Henderson Global Smaller Companies Fund   8,782,316    113,025,680
Seligman Henderson Global Technology Fund         46,536,576    564,138,923
Seligman Henderson International Fund              2,580,962     42,323,447
                                                  ----------    -----------  
                              TOTAL               57,899,854    719,488,050
<PAGE>

                                        Page (2)


10. Number and aggregate sale price of securities sold during the fiscal year in
reliance upon registration pursuant to rule 24f-2:

                                                   SHARES       SALE PRICE
Seligman Henderson Global Smaller Companies Fund  8,782,316     113,025,680
Seligman Henderson Global Technology Fund        46,536,576     564,138,923
Seligman Henderson International Fund             2,580,962      42,323,447
                                                 ----------     -----------
                                TOTAL            57,899,854     719,488,050

11. Number and aggregate sale price of securities  issued during the fiscal year
in connection with dividend reinvestment plans, if applicable:

                                                 SHARES          SALE PRICE
Seligman Henderson Global Smaller Companies Fund 217,253         2,331,171
Seligman Henderson Global Technology Fund         69,743           552,647
Seligman Henderson International Fund            205,054         3,201,729
                                                --------         ---------
                                TOTAL            492,050         6,085,547


12.  Calculation of registration fee:

(i)  Aggregate sale price of securities sold during the fiscal               
        year in reliance on rule 24f-2 (from Item 10):         $  719,488,050

(ii) Aggregate price of shares issued in connection with
        dividend reinvestment plans (from Item 11):            +    6,085,547

(iii)Aggregate price of shares redeemed or repurchased
        during the fiscal year (if applicable):                -  151,074,374

(iv) Aggregate price of shares redeemed or repurchased
        and previously applied as a reduction to filing 
        fees pursuant to rule 24e-2 (if applicable):           +            0

(v)  Net aggregate price of securities sold and issued during
        the fiscal year in reliance on rule 24f-2 { line (i),
        plus line (ii), less line (iii), plus line (iv)}          574,499,223

(vi) Multiplier prescribed by Section 6(b) of the Securities
        Act of 1933 or other applicable law or regulation:     x     0.000345
                                                                  -----------
(vii)Fee due {line (i) or line (v) multiplied by line (vi)}:      $198,202.23



13. Check box if fees are being remitted to the Commission's  lockbox depository
as  described  in section 3a of the  Commission's  Rules of  Informal  and Other
Procedures (17 CFR 202.3a).

                                                                [      ]

Date of mailing or wire  transfer  of filing  fees to the  Commission's  lockbox
depository:

                                                              

                                   SIGNATURES


This  report has been  signed  below by the  following  persons on behalf of the
issuer and in the capacities and on the dates indicated.


By (Signature and Title)         Thomas G. Rose
                                 --------------
                                 Thomas G. Rose
                                   Treasurer


Date December 21, 1995



SULLIVAN & CROMWELL

NEW YORK TELEPHONE: (212) 558-4000
TELEX: 62694 (INTERNATIONAL) 127816 (DOMESTIC)
125 Broad Street, New York 10004-2498
CABLE ADDRESS: LADYCOURT, NEW YORK
__________
FACSIMILE: (212) 558-3588 (125 Broad Street)
250 PARK AVENUE, NEW YORK 10177-0021
(212) 558-3792 (250 Park Avenue)
1701 PENNSYLVANIA AVE, N.W. WASHINGTON, D.C. 20006-5805
444 SOUTH FLOWER STREET, LOS ANGELES 90071-2901
8, PLACE VENDME, 75001 PARIS
ST. OLAVE'S HOUSE, 9a IRONMONGER LANE, LONDON EC2V 8EY
101 COLLINS STREET, MELBOURNE 3000
2-1, MARUNOUCHI I-CHOME, CHIYODA-KU, TOKYO 100
NINE QUEEN'S ROAD, CENTRAL, HONG KONG

                                                               December 20, 1995




Seligman Henderson Global Fund Series, Inc.,
   100 Park Avenue,
      New York, New York  10017.

Dear Sirs:

     You have  requested  our opinion in  connection  with the notice  which you
propose to file pursuant to Rule 24f-2 under the Investment  Company Act of 1940
with respect to 2,580,962  shares of Capital  Stock of your  Seligman  Henderson
International  Fund  Class,  $.001  par  value  (the  "International   Shares"),
8,782,316  shares of Capital Stock of your  Seligman  Henderson  Global  Smaller
Companies Fund Class,  $.001 par value (the "Global Smaller Companies  Shares"),
and  46,536,576  shares  of  Capital  Stock of your  Seligman  Henderson  Global
Technology Fund Class, $.001 par value (the "Global Technology Shares").

     As your  counsel,  we are familiar  with your  organization  and  corporate
status and validity of your Capital Stock.

     We advise you that,  in our  opinion,  the Shares are  legally  and validly
issued, fully paid and nonassessable.

     The  foregoing  opinion is limited to the  General  Corporation  Law of the
State of Maryland, and we are expressing no opinion as to the effect of the laws
of any other jurisdiction.

     We consent to the filing of this opinion with the  Securities  and Exchange
Commission  in  connection  with the notice  referred  to above.  In giving such
consent,  we do not thereby  admit that we come  within the  category of persons
whose consent is required under Section 7 of the Securities Act of 1933.

                                                               Very truly yours,
                                                             SULLIVAN & CROMWELL
                                                             -------------------
                                                             SULLIVAN & CROMWELL

        


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