Generalized q-stirling numbers and their interpolation functions

Creative Commons License

Ozden H., CANGÜL İ. N., ŞİMŞEK Y.

Axioms, cilt.2, sa.1, ss.10-19, 2013 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.3390/axioms2010010
  • Dergi Adı: Axioms
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.10-19
  • Anahtar Kelimeler: Generalized q-Stirling numbers of the second kind, q-Bernoulli numbers and polynomials, Q-zeta function
  • Akdeniz Üniversitesi Adresli: Evet

Özet

© 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.