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

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

Abstract 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...

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Autores principales: Pathan,M. A., Khan,Waseem A.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
Materias:
Gould-Hopper polynomials
Laguerre type exponential
Unified Apostol type polynomials
Extended Laguerre-based Apostol type polynomials
Fubini polynomials
Bell polynomials
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200313
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Sumario:Abstract 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.

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