Document Type

Article

Language

eng

Publication Date

5-25-2018

Publisher

Walter de Gruyter

Source Publication

Integers

Source ISSN

1867-0652

Abstract

We provide combinatorial proofs of identities published by Alzer and Prodinger. These identities include that for integers b, n, and r with b ≥ 1 and n − 1 ≥ r ≥ 0 we have

and for integers b, n, and r with b ≥ 0 and n − 1 ≥ r ≥ 0 we have

Our combinatorial proofs generalize squares to sth powers, and involve generalized Eulerian numbers and generalized Delannoy numbers.

Comments

Published version. Integers Vol. 18 (2018): #A49. Publisher link.© 2018 Wlater de Gruyter. Used with permission.

Available for download on Saturday, May 25, 2019

Share

COinS