Generalized q-Stirling Numbers and Their Interpolation Functions


Ozden H., CANGÜL İ. N. , ŞİMŞEK Y.

AXIOMS, vol.2, no.1, pp.10-19, 2013 (ESCI) identifier 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: q-Bernoulli numbers and polynomials, generalized q-Stirling numbers of the second kind, q-zeta function
  • Bursa Uludag University Affiliated: Yes

Abstract

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.