Some Results for the Apostol-Genocchi Polynomials of Higher Order

Details Some Results for the Apostol-Genocchi Polynomials of Higher Order Some Results for the Apostol-Genocchi Polynomials of Higher Order

2011-04-08

arxiv.org/abs/1104.1501v1

Mathematics

Number Theory

18 pages

Scientific paper

The present paper deals with multiplication formulas for the Apostol-Genocchi polynomials of higher order and deduces some explicit recursive formulas. Some earlier results of Carlitz and Howard in terms of Genocchi numbers can be deduced. We introduce the 2-variable Apostol-Genocchi polynomials and then we consider the multiplication theorem for 2-variable Genocchi polynomials. Also we introduce generalized Apostol-Genocchi polynomials with a; b; c parameters and we obtain several identities on generalized Apostol-Genocchi polynomials with a; b; c parameters

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