Interpolation function of the genocchi type polynomials

Abstract

The main purpose of this paper is to construct not only generating functions of the new approach Genocchi type numbers and polynomials but also interpolation function of these numbers and polynomials which are related to a, b, c arbitrary positive real parameters. We prove multiplication theorem of these polynomials. Furthermore, we give some identities and applications associated with these numbers, polynomials and their interpolation functions.

14 pages

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Cited by in corpus (8)

• Generating functions for generalized Stirling type numbers, Array type polynomials, Eulerian type polynomials and their applications
• Unification of the three families of generalized Apostol type polynomials on the Umbral algebra
• Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials
• 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
• Two closed forms for the Apostol-Bernoulli polynomials
• On the Dirichlet's type of Eulerian polynomials
• On the modified q-Genocchi numbers and polynomials and their applications
• Identities involving the $\left(h,q\right)$-Genocchi polynomials and $\left(h,q\right)$-Zeta-type function