Some array type polynomials associated with special numbers and polynomials


Bayad A., ŞİMŞEK Y., Srivastava H. M.

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

  • Publication Type: Article / Article
  • Volume: 244
  • Publication Date: 2014
  • Doi Number: 10.1016/j.amc.2014.06.086
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.149-157
  • Keywords: 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 University Affiliated: Yes

Abstract

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.