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- W1755883721 abstract "Abstract The aim of this paper is to study generating function of the Hermite-Kampe˙ deFe˙riet based second kind Genocchi polynomials. We also give some identitiesrelated to these polynomials.2010 Mathematics Subject Classification. 05A10, 11B65, 11B68.Key Words and Phrases. Genocchipolynomials, Genocchi numbers, Second kindBernoullipolynomials, Second kind Euler polynomials, Second kind Genocchi polynomials, Hermitepolynomials, two variable Hermite polynomials, Hermite based-second kind Genocchi poly-nomials.1. Introduction, Definitions and NotationsThe Bernoulli numbers the Bernoulli polynomials, the Euler numbers, the Euler polynomi-als and Genocchi polynomials and numbers are used many areas of sciences. These numbersand polynomials are also used in calculus of finite differences, in numerical analysis, in ana-lytical number theory.Recently many authors have studied on these numbers and polynomials. They also definedmany different generating functions of these polynomials and numbers.Due to Bretti and Ricci [1], the Hermite-Kamp´e de F´eriet (or Gould-Hopper) polynomi-als have been used in order to construct addition formulas for different classes of generalizedGegenbauer polynomials. These polynomials (two-variable Hermite polynomials) are definedby means of the following generating functions:e" @default.
- W1755883721 created "2016-06-24" @default.
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- W1755883721 date "2011-12-09" @default.
- W1755883721 modified "2023-09-27" @default.
- W1755883721 title "On The Hermite Based-Second Kind Genocchi Polynomials" @default.
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