SELIGMAN HENDERSON GLOBAL FUND SERIES INC, 497J, 1996-05-24

SELIGMAN HENDERSON GLOBAL FUND SERIES INC
497J, 1996-05-24

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                                                                    May 24, 1996



Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, NW
Washington, DC  20549

Re:      Seligman Henderson Global Fund Series, Inc.
         File Nos. 33-44186 and 811-6485

Dear Sir or Madam:

         Pursuant  to Rule 497(j)  under the  Securities  Act of 1933,  I hereby
certify that the  Prospectus  and  Statement of Additional  Information  for the
Seligman  Henderson Emerging Markets Growth Fund, a series of Seligman Henderson
Global Fund Series,  Inc.,  (the "Fund") does not differ from that  contained in
Post-Effective  Amendment  No. 21 to the Fund's  Registration  Statement on Form
N-1A, filed electronically on May 20, 1996.

         If you have any  questions,  please do not hesitate to call me at (212)
850-1426.

                                                          Very truly yours,
                                                          /s/ Maureen A. Coleman
                                                          Maureen A. Coleman
                                                          Assistant Secretary