Generalized q-Stirling Numbers and Their Interpolation Functions

Ozden H., CANGÜL İ. N., ŞİMŞEK Y.

AXIOMS, cilt.2, sa.1, ss.10-19, 2013 (ESCI) identifier 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: q-Bernoulli numbers and polynomials, generalized q-Stirling numbers of the second kind, q-zeta function
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.