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Some Properties of the Generalized Apostol Type Hermite-Based Polynomials
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  • Journal title : Kyungpook mathematical journal
  • Volume 55, Issue 3,  2015, pp.597-614
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2015.55.3.597
 Title & Authors
Some Properties of the Generalized Apostol Type Hermite-Based Polynomials
KHAN, WASEEM AHMAD;
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 Abstract
In this paper, we study some properties of the generalized Apostol type Hermite-based polynomials. which extend some known results. We also deduce some properties of the generalized Apostol-Bernoulli polynomials, the generalized Apostol-Euler polynomials and the generalized Apostol-Genocchi polynomials of high order. Numerous properties of these polynomials and some relationships between and are established. Some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions.
 Keywords
Hermite polynomials;generalized Apostol type Hermite-based polynomials;summation formulae;
 Language
English
 Cited by
1.
A new generalization of Apostol type Hermite–Genocchi polynomials and its applications, SpringerPlus, 2016, 5, 1  crossref(new windwow)
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