SELIGMAN FRONTIER FUND INC
497, 1995-10-03
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 Supplement, dated September 21, 1995, to the Prospectus dated February 1, 1995
                 of Seligman Frontier Fund, Inc. (the "Fund").

         Today  the  Fund's   Board  of  Directors   unanimously   approved  and
recommended to shareholders for approval at a special meeting of shareholders to
be held on December 12, 1995,  proposed  amendments to the Management  Agreement
between the Fund and J. & W. Seligman & Co.  Incorporated  (the "Manager").  The
proposed amendments would revise the fee schedule in the Management Agreement as
follows:  pursuant to a new  schedule  of  management  fees which  would  apply,
subject to shareholder approval, effective January 1, 1996, the Fund would pay a
management fee equal to an annual rate of 0.95% on the first $750 million of the
average daily net assets of the Fund;  and 0.85% on the average daily net assets
of the Fund in  excess  of $750  million.  The  current  practice  of  computing
management fees daily and paying them monthly will remain unchanged.

         In addition,  the Board of Directors also approved and  recommended for
approval by  shareholders  corresponding  changes to the  Subadvisory  Agreement
between the Manager and  Seligman  Henderson  Co.,  the Fund's  Subadviser  with
respect to certain  assets.  The subadvisory fee is paid by the Manager and thus
does not affect the total management fee payable by the Fund.

     The following  replaces the "Annual Fund  Operating  Expense" table and the
"Example" located on page 2 of the Fund's prospectus:

<TABLE>
<CAPTION>

Annual Fund Operating Expenses for 1994                                                             Class A          Class D
(as a percentage of average net assets)
<S>                                                                                                  <C>              <C>
   Management Fees..............................................................                     .95%              .95%
   12b-1 Fees...................................................................                     .06%             1.00%
   Other Expenses...............................................................                     .53%              .97%
                                                                                                     ----              ----
   Total Fund Operating Expenses................................................                     1.54%            2.92%
                                                                                                     =====            =====
<CAPTION>

Example                                                                            1 year       3 years      5 years       10 years
                                                                                   ------       -------      -------       --------
You would pay the following expenses on a $1,000 investment, assuming
  (1) 5% annual return and (2) redemption at the end of each time period:
<S>                                                                                 <C>           <C>          <C>            <C> 
Class A.........................................................................    $62           $94          $127           $222
Class D.........................................................................    $40+          $90          $154           $324

This  example  should  not be  considered  a  representation  of past or  future
expenses.  Actual  expenses  may be greater or less than those  shown and the 5%
annual return used in this example is a hypothetical rate.

+    Assuming  (i) 5% annual  return and (ii) no  redemption  at the end of year
     one, the expenses on a $1,000 investment would be $30.

         The current fee  arrangements  with the Manager and the  Subadviser are
described in the Prospectus under the section entitled, "Management Services."


</TABLE>


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