Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomials. (English) Zbl 1192.05001

Ding, Dan; Yang, Jizhen

Adv. Stud. Contemp. Math., Kyungshang 20, No. 1, 7-21 (2010).

Summary: In this paper, we obtain several symmetric identities on the generalized Apostol-Euler polynomials via generating function method. We also get some identities which contains some identities related to Apostol-Euler and Apostol-Bernoulli polynomials.

MSC:

05A05	Permutations, words, matrices
05A19	Combinatorial identities, bijective combinatorics
11B39	Fibonacci and Lucas numbers and polynomials and generalizations
11B68	Bernoulli and Euler numbers and polynomials

Keywords:

Euler polynomials; Apostol-Euler polynomials; Apostol-Bernoulli polynomials