The Actions on the Generating Functions for the Family of the Generalized Bernoulli Polynomials

Mustafa Alkan, Yilmaz Simsek


In this paper, we study the generalization Bernoulli numbers and polynomials
attached to a periodic group homomorphism from a finite cyclic group to the
set of complex numbers and derive new periodic group homomorphism by using a
fixed periodic group homomorphism. Hence, we obtain not only multiplication
formulas, but also some new identities for the generalized Bernoulli
polynomials attached to a periodic group homomorphism.

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