A. J. Stam

Binomial Sums with Old-Fashioned Proofs

Click on the title to access the PDF.

The Table of Contents can be accessed in the PDF by bookmarks.

Table of Contents

1a. Introduction and generalities
1b. Polynomials of convolution type
1c. Fibonacci and Lucas numbers and polynomials
1d. Tables
1e. Proofs, remarks and references
2. Tables, proofs and references of higher-order sums

Any part of this collection may be reprinted or reproduced in any form or by any means as long as the author's name is mentioned.

A. J. Stam was professor in applied mathematics at the University of Groningen between 1963 and 1994. During his retirement he remains active and is interested in formulas which are related to probability theory. The present document, completed in 2012, is a reflection of his interest.

Website maintained by Charles Goldie (C.M.Goldie at sussex.ac.uk)