SELIGMAN HENDERSON GLOBAL FUND SERIES INC
AW, 1997-09-08
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                             J. & W. Seligman & Co.
                                  Incorporated



                                                September 8, 1997

Securities and Exchange Commission
450 Fifth Street, N.W.
Washington, DC 20547

Attention:  File Desk

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

Dear Sir or Madam:

     On behalf of Seligman  Henderson  Global Fund Series,  Inc, I hereby submit
this application for withdrawal of Post-Effective Amendment No. 24 to the Fund's
Registration   Statement  on  Form  N-1A,   together   with  any  exhibits  (the
"Amendment"),  which was filed with the  Securities  and Exchange  Commission on
June 27,  1997,  pursuant  to Rule  477(a)  of the  Securities  Act of 1933 (the
"Act").

     The  Amendment is being  withdrawn  because  management  has decided not to
pursue this project at this time for business reasons.

     As Post-Effective  Amendment No. 24 will become effective  automatically on
September  10, 1997, I  respectively  request that an order with respect to this
application for withdrawal be issued today or as soon as practicable thereafter.

     Pursuant to the  requirements of Rule 478 of the Act, this  application for
the  withdrawal  of the  Amendment  has been signed by the President of the Fund
this 8th day of September, 1997.

                                                Very truly yours,




                                                Brian T. Zino
                                                President

BTZ:sr







 100 Park Avenue (degree) New York, New York 10011 (degree) (212) 850-1864



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