Many extensions and variants of the so-called Apostol-type polynomials have recently been investigated. Motivated mainly by those works and their usefulness, we aim to introduce a new class of Apostol-type Laguerre–Genocchi polynomials associated with the modified Milne–Thomson's polynomials introduced by Derre and Simsek and investigate its properties, including, for example, various implicit formulas and symmetric identities in a systematic manner. The new family of polynomials introduced here, being very general, contains, as its special cases, many known polynomials. So the properties and identities presented here reduce to yield those results of the corresponding known polynomials.
Plusieurs extensions et variantes des polynômes dits de type Apostol ont été récemment étudiées. Motivés par ces travaux et leur utilité, notre but est d'introduire une nouvelle classe de polynômes de type Apostol généralisant les polynômes de Laguerre–Genochi associés aux polynômes de Milne–Thompson modifiés, introduits par Derre et Simsek, et d'en étudier de façon systématique les propriétés. Par exemple, nous donnons diverses formules implicites et des identités de symétrie. La nouvelle famille de polynômes introduite ici est très générale et contient comme cas particuliers beaucoup de polynômes connus. Les résultats présentés ici redonnent des propriétés et identités de ces polynômes connus.
Accepted:
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Nabiullah Khan 1; Talha Usman 1; Junesang Choi 2
@article{CRMATH_2017__355_6_607_0,
author = {Nabiullah Khan and Talha Usman and Junesang Choi},
title = {A new generalization of {Apostol-type} {Laguerre{\textendash}Genocchi} polynomials},
journal = {Comptes Rendus. Math\'ematique},
pages = {607--617},
publisher = {Elsevier},
volume = {355},
number = {6},
year = {2017},
doi = {10.1016/j.crma.2017.04.010},
language = {en},
}
TY - JOUR AU - Nabiullah Khan AU - Talha Usman AU - Junesang Choi TI - A new generalization of Apostol-type Laguerre–Genocchi polynomials JO - Comptes Rendus. Mathématique PY - 2017 SP - 607 EP - 617 VL - 355 IS - 6 PB - Elsevier DO - 10.1016/j.crma.2017.04.010 LA - en ID - CRMATH_2017__355_6_607_0 ER -
Nabiullah Khan; Talha Usman; Junesang Choi. A new generalization of Apostol-type Laguerre–Genocchi polynomials. Comptes Rendus. Mathématique, Volume 355 (2017) no. 6, pp. 607-617. doi : 10.1016/j.crma.2017.04.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.04.010/
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