SELIGMAN PENNSYLVANIA MUNICIPAL FUND SERIES
485BPOS, 1999-01-19
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                                                           File No.    33-5793
                                                                      811-4666


                       SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

- --------------------------------------------------------------------------------
      REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933             |X|

                  Pre-Effective Amendment No. __                          |_|
   

                  Post-Effective Amendment No. 18                         |X|
                                               --
    

         REGISTRATION STATEMENT UNDER THE INVESTMENT COMPANY ACT OF 1940  |X|
   
                  Amendment No. 20                                        |X|
                                --
    

- --------------------------------------------------------------------------------

                   SELIGMAN PENNSYLVANIA MUNICIPAL FUND SERIES
               (Exact name of registrant as specified in charter)

- --------------------------------------------------------------------------------

                    100 PARK AVENUE, NEW YORK, NEW YORK 10017 (Address of
                    principal executive offices)

- --------------------------------------------------------------------------------

                 Registrant's Telephone Number: 212-850-1864 or
                             Toll-Free 800-221-2450

- --------------------------------------------------------------------------------

                            THOMAS G. ROSE, Treasurer
                                 100 Park Avenue
                            New York, New York 10017
                     (Name and address of agent for service)

- --------------------------------------------------------------------------------

         It is proposed that this filing will become effective (check the
appropriate box).


|_|   immediately upon filing pursuant to paragraph (b) of rule 485

   
|X|   on January 31, 1999  pursuant to paragraph (b) of rule 485
         ----------------
    

|_|   60 days after filing pursuant to paragraph (a)(1) of rule 485

   
|_|   on     (date)     pursuant to paragraph (a)(1) of rule 485
         --------------
    

|_|   75 days after filing pursuant to paragraph (a)(2) of rule 485


|_|   on   (date)     pursuant to paragraph (a)(2) of rule 485.
        -------------

If appropriate, check the following box:
   
|X|   This post-effective amendment designates a new effective date for a
      previously filed post-effective amendment.

    

<PAGE>

PART A to this Post-Effective Amendment No. 18 to the Registration Statement is
incorporated by reference to Registrant's Post-Effective Amendment No. 17 to the
Registration Statement on Form N-1A, filed November 12, 1998.

PART B to this Post-Effective Amendment No. 18 to the Registration Statement is
incorporated by reference to Registrant's Post-Effective Amendment No. 17 to the
Registration Statement on Form N-1A, filed November 12, 1998.

PART C to this Post-Effective Amendment No. 18 to the Registration Statement is
incorporated by reference to Registrant's Post-Effective Amendment No. 17 to the
Registration Statement on Form N-1A, filed November 12, 1998.



<PAGE>


                                   SIGNATURES
                                   ----------

         Pursuant to the requirements of the Securities Act of 1933, and the
Investment Company Act of 1940, the Registrant certifies that it meets all of
the requirements for effectiveness of this Post-Effective Amendment pursuant to
Rule 485(b) under the Securities Act of 1933 and has duly caused this
Post-Effective Amendment No. 18 to its Registration Statement to be signed on
its behalf by the undersigned, thereunto duly authorized, in the City of New
York, State of New York, on the 19th day of January, 1999.

                                 SELIGMAN PENNSYLVANIA MUNICIPAL FUND SERIES




                                 By:  /s/ William C. Morris
                                      ------------------------------------------
                                          William C. Morris, Chairman*


         Pursuant to the requirements of the Securities Act of 1933, this
Post-Effective Amendment No. 18 has been signed below by the following persons
in the capacities indicated on January 19, 1999.

           Signature                             Title
           ---------                             -----

/s/ William C. Morris                 Chairman of the Trustees (Principal
- ----------------------------           executive officer)  and Trustee
    William C. Morris*


/s/ Brian T. Zino                     President and Trustee
- ----------------------------
    Brian T. Zino


/s/ Thomas G. Rose                    Treasurer (Principal financial
- ----------------------------           and accounting officer)
    Thomas G. Rose


John R. Galvin, Trustee       )
Alice S. Ilchman, Trustee     )
Frank A. McPherson, Trustee   )
John E. Merow, Trustee        )       /s/ Brian T. Zino
Betsy S. Michel, Trustee      )       ------------------------------------------
James C. Pitney, Trustee      )       *By: Brian T. Zino, Attorney-in-fact
James Q. Riordan, Trustee     )
Richard R. Schmaltz, Trustee  )
Robert L. Shafer, Trustee     )
James N. Whitson, Trustee     )




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