Identities on Generalized Apostol-Genocchi Numbers and Polynomials Involving Binomial Coefficients
DOI:
https://doi.org/10.29020/nybg.ejpam.v13i3.3705Keywords:
Apostol number, Genocchi number, Apostol polynomial, Genocchi polynomial, Binomial coefficients, Binomial inversion formulaAbstract
In [11], Jolany et al. defined generalizations of Apostol-Genocchi numbers and polynomials. Most identities on classical or generalized Apostol-Genocchi numbers and polynomials are related to the well-known Bernoulli and Euler numbers and polynomials. However, in this paper, identities on generalized Apostol-Genocchi numbers and polynomials which are not associated with the Bernoulli- and Euler-types are introduced. Specifically, identities involving binomial coefficients and some integral identities which only relate generalized Apostol-Genocchi numbers and polynomials are established.
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