Generalized q-stirling numbers and their interpolation functions

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Ozden H., CANGÜL İ. N., ŞİMŞEK Y.

Axioms, vol.2, no.1, pp.10-19, 2013 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 2 Issue: 1
  • Publication Date: 2013
  • Doi Number: 10.3390/axioms2010010
  • Journal Name: Axioms
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.10-19
  • Keywords: Generalized q-Stirling numbers of the second kind, q-Bernoulli numbers and polynomials, Q-zeta function
  • Akdeniz University Affiliated: Yes

Abstract

© 2013 by the author.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.