Some Identities on the Generalized q-Bernoulli, q-Euler, and q-Genocchi Polynomials

Abstract EN

Mahmudov (2012, 2013) introduced and investigated some q-extensions of the q-Bernoulli polynomials ℬn,qαx,y of order α, the q-Euler polynomials ℰn,qαx,y of order α, and the q-Genocchi polynomials ?n,qαx,y of order α.

In this paper, we give some identities for ℬn,qαx,y, ?n,qαx,y, and ℰn,qαx,y and the recurrence relations between these polynomials.

This is an analogous result to the q-extension of the Srivastava-Pintér addition theorem in Mahmudov (2013).