Basic and bibasic identities related to divisor functions

Abstract

Using basic hypergeometric functions and partial fraction decomposition we give a new kind of generalization of identities due to Uchimura, Dilcher, Van Hamme, Prodinger, and Chen-Fu related to divisor functions. An identity relating Lambert series to Eulerian polynomials is also proved.

16 pages

References in corpus (1)

• q-identities of Fu and Lascoux proved by the q-Rice formula

Cited by in corpus (1)

• Partition implications of a new three parameter $q$-series identity