A new generalization of the Bernoulli and related polynomials. (English) Zbl 1259.11032

Srivastava, H. M.; Garg, M.; Choudhary, S.

Russ. J. Math. Phys. 17, No. 2, 251-261 (2010).

Summary: In this paper, we introduce and investigate a generalization of the Bernoulli polynomials

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by means of a suitable generating function. We establish several interesting properties of these general polynomials. Furthermore, we give explicit series representations for these general polynomials in terms of a certain generalized Hurwitz-Lerch zeta function

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and the familiar Gauss hypergeometric function.

MSC:

11B68	Bernoulli and Euler numbers and polynomials
11M35	Hurwitz and Lerch zeta functions

References:

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