On the three families of extended Laguerre-based Apostol-type polynomials

Pathan, M. A. ^[2] ; Khan, Waseem A. ^[1]
1. [1] Prince Mohammad bin Fahd University
  
  Prince Mohammad bin Fahd University
  
  Arabia Saudí
2. [2] Centre for Mathematical and Statistical Sciences
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 2, 2021, págs. 313-334
Idioma: inglés
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Resumen
- In this paper, we introduce a new class of generalized extended Laguerre-based Apostol-type-Bernoulli, Apostol-type-Euler and Apostoltype-Genocchi polynomials. These Apostol type polynomials are used to connect Fubini-Hermite and Bell-Hermite polynomials and to find new representations. We derive some implicit summation formulae and symmetric identities for these families of special functions by applying the generating functions.