SELIGMAN PENNSYLVANIA MUNICIPAL FUND SERIES
497J, 1999-02-02
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                    J. & W. Seligman & Co.
                         Incorporated



                                February 2, 1999


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


Re:      Seligman Pennsylvania Municipal Fund Series, Inc. (the "Fund")
         File Nos. 33-5793 and 811-4666

Dear Ladies and Gentlemen:

         Pursuant  to Rule 497(j)  under the  Securities  Act of 1933,  I
hereby certify that the Prospectus and Statement of Additional Information
that would have been filed  pursuant to Rule 497(c) does not differ from that
contained in Post-Effective Amendment No. 19 to the Fund's Registration
Statement on Form N-1A filed electronically with the Securities and Exchange
Commission on January 29, 1999.

         If you have any questions, please do not hesitate to contact me at
(212) 850-1375.


                                           Very truly yours,



                                        /s/Jennifer G. Muzzey
                                           Jennifer G. Muzzey
                                           Legal Assistant

JGM:jgm


             100 Park Avenue New York, New York 10017 (212) 850-1864




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