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