Affiliation:
1. Department of Mathematics, Chongqing Normal University Chongqing Higher Education Mega Center, Huxi Campus Chongqing, People’s Republic of China
Abstract
Carlitz firstly defined the q-Bernoulli and q-Euler polynomials [Duke Math.
J., 15 (1948), 987- 1000]. Recently, M. Cenkci and M. Can [Adv. Stud.
Contemp. Math., 12 (2006), 213-223], J. Choi, P. J. Anderson and H. M.
Srivastava [ Appl. Math. Comput., 199 (2008), 723-737] further defined the
q-Apostol-Bernoulli and q-Apostol-Euler polynomials. In this paper, we show
the generating functions and basic properties of the q-Apostol-Bernoulli and
q-Apostol-Euler polynomials, and obtain some relationships between the
q-Apostol-Bernoulli and q-Apostol-Euler polynomials which are the
corresponding q-extensions of some known results. Some formulas in series of
q-Stirling numbers of the second kind are also considered.
Publisher
National Library of Serbia
Cited by
6 articles.
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