q-Analogues of multiparameter non-central Stirling and generalized harmonic numbers

B.S. El-Desouky, R.S. Gomaa and Nenad P. Cakić

Applied Mathematics and Computation, 2014, vol. 232, issue C, 132-143

Abstract: In this paper we derive q-analogues of the multiparameter non-central Stirling numbers of the first and second kind, introduced by El-Desouky. Moreover, recurrence relations, explicit formulas and a connection between these numbers and generalized q-harmonic numbers are obtained. Furthermore, some important special cases and new combinatorial identities are given. Finally, algorithms of these numbers and matrix representation using Maple are derived.

Keywords: Stirling numbers; q-Stirling numbers; Multiparameter non-central Stirling numbers; Comtet numbers; q-Analogue; Harmonic numbers; Generalized q-harmonic numbers (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:132-143

DOI: 10.1016/j.amc.2014.01.026

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