On the multiple q-Genocchi and Euler numbers

Abstract

The purpose of this paper is to present a systemic study of some families of multiple q-Genocchi and euler numbers by using multivariate q-Volkenborn integral. From the studies of those q-Genocchi numbers and polynomials of higher order we derive some interesting identities related to q-Genocchi numbers and polynomials of higher order.

11 pages

References in corpus (3)

• The p-adic generalized twisted (h,q)-euler-l-function and its applications
• A note on p-adic q-Euler measure
• On the Twisted q-Euler numbers and polynomials associated with basic q-l-functions

Cited by in corpus (18)

• A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials
• Identities involving values of Bernstein, q-Bernoulli and q-Euler polynomials
• New identities involving q-Euler polynomials of higher order
• Interpolation function of the genocchi type polynomials
• A Unified Generating Function of the q-Genocchi Polynomials with their Interpolation Functions
• Identities involving q-Genocchi numbers and polynomials
• On the q-Extensions of the Bernoulli and Euler Numbers, Related Identities and Lerch Zeta Function
• A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp
• p-adic interpolating function associated with modified Dirichlet's type of twisted q-euler numbers and polynomials with weight alpha
• Certain study of generalized Apostol-Bernoulli poly-daehee polynomials and its properties
• Note on the generalization of the higher order q-Genocchi numbers and q-Euler numbers
• A new class of generalized Genocchi polynomials
• A unification of the multiple twisted Euler and Genocchi numbers and polynomials associated with p adic q integral on Zp at q=-1
• On The Hermite Based-Second Kind Genocchi Polynomials
• p-adic interpolation function related to multiple generalized Genocchi numbers
• Ob carlitz's type q-Euler numbers associated with the fermionic p-adic integrals on Zp
• A family of generalized q-Genocchi numbers and polynomials
• q Analogue of p adic log gamma functions associated with modified q extension of Genocchi numbers with weight alpha and beta