Some array type polynomials associated with special numbers and polynomials

Bayad A., ŞİMŞEK Y., Srivastava H. M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.244, ss.149-157, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 244
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.amc.2014.06.086
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.149-157
  • Anahtar Kelimeler: Bernoulli polynomials and Bernoulli numbers, Apostol-Bernoulli polynomials and Apostol-Bernoulli numbers, lambda-Bell numbers and lambda-Bell polynomials, lambda-Array polynomials, lambda-Stirling numbers of the second kind, GENERATING-FUNCTIONS, APOSTOL-BERNOULLI, EULER
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The main objective in this paper is first to establish new identities for the lambda-Stirling type numbers of the second kind, the lambda-array type polynomials, the Apostol-Bernoulli polynomials and the Apostol-Bernoulli numbers. We then construct a lambda-delta operator and investigate various generating functions for the lambda-Bell type numbers and for some new polynomials associated with the lambda-array type polynomials. We also derive several other identities and relations for these polynomials and numbers. (C) 2014 Elsevier Inc. All rights reserved.