SELIGMAN PENNSYLVANIA MUNICIPAL FUND SERIES
497J, 1999-06-03
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                          J. & W. Seligman & Co.
                               Incorporated



                                        June 3, 1999


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

Re:      Seligman Pennsylvania Municipal Fund Series (the "Fund")
         Post-Effective Amendment No. 20
         File No. 33-5793 and 811-4666

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 that would
have been filed pursuant to Rule 497(c) does not differ from that contained in
Post-Effective  Amendment No. 20 to the Fund's Registration Statement on Form
N-1A filed electronically with the Securities and Exchange Commission on
May 28, 1999.

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


                                              Very truly yours,



                                             /s/Jennifer G. Muzzey
                                                Jennifer G. Muzzey
                                                Legal Assistant
                                                Law & Regulation

JGM/jgm


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



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