The RBB FUND, INC.
                        Bellevue Park Corporate Center
                        400 Bellevue Parkway, Suite 100
                             Wilmington, DE 19809
                               December 23, 1997

VIA EDGAR TRANSMISSION
- ----------------------

Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, N.W.
Washington, D.C. 20549

     Re:  The RBB Fund, Inc.
          (1933 Act Registration No. 33-20827)
          (1940 Act Registration No. 811-5518)
          ------------------------------------

Ladies and Gentlemen:

          On behalf of the RBB Fund, Inc. (the "Company") and pursuant to Rule 
497(j) of the Securities Act of 1933 (the "1933 Act"), I hereby certify that (i)
the prospectus and statement of additional information listed below that would 
have been filed under paragraph (c) of Rule 497 of the 1933 Act would not have 
differed from the prospectus and statement of additional information contained 
in Post-Effective Amendment No. 51 to the Company's Registration Statement on 
Form N-1A under the Securities Act of 1933 and the Investment Company Act of 
1940 ("Post-Effective Amendment No. 51"), which was filed on December 8, 1997; 
and (ii) the text of Post-Effective Amendment No. 51 has been filed 
electronically:

          1.     n/i numeric investors Prospectus dated December 9, 1997 for the
                 Micro Cap, Growth, Growth & Value and Larger Cap Value Funds;
                 and
     
          2.     n/i numeric investors Statement of Additional Information dated
                 December 9, 1997 for the Micro Cap, Growth, Growth & Value and
                 Larger Cap Value Funds.
                        

 
Securities and Exchange Commission
December 23, 1997
Page 2


If you have any questions or comments regarding this filing, do not hesitate to 
contact David F. Connor, Esq. at (215) 988-2446.

                                              Very truly yours,

                                              The RBB Fund, Inc.

                                              By: /s/ Edward J. Roach
                                                  -------------------
                                                  President