Volume no :10, Issue no: 1, -2 July and August 2011

Journal of Mathematical Sciences: Advances and Applications

q-COMTET AND GENERALIZED q-HARMONIC NUMBERS

Author's: B. S. El-Desouky and R. S. Gomaa
Pages: [33] - [52]
Received Date: July 12, 2011
Submitted by:

Abstract

In this paper, we derive some generalizations of q-Stirling and q-harmonic numbers. Recurrence relations, generating functions, explicit formulae, and a connection between these numbers are given. Moreover, some important special cases and new combinatorial identities are obtained. Finally, matrix representation using Maple is given.

Keywords

q-Stirling numbers, q-Comtet numbers, q-harmonic numbers, Maple.