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Generalized q-Stirling Numbers and Their Interpolation Functions
Journal article   Open access  Peer reviewed

Generalized q-Stirling Numbers and Their Interpolation Functions

Hacer Ozden, Ismail Naci Cangul and Yilmaz Simsek
Axioms, Vol.2(1), pp.10-19
01/03/2013
DOI: https://doi.org/10.3390/axioms2010010

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers. We also derive some identities and relations related to q-Bernoulli numbers and polynomials and q-Stirling numbers of the second kind.
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https://doi.org/10.3390/axioms2010010View
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