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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spelling	oai:scielo:S0716-091720210002003132021-04-03On the three families of extended Laguerre-based Apostol-type polynomialsPathan,M. A.Khan,Waseem A. Gould-Hopper polynomials Laguerre type exponential Unified Apostol type polynomials Extended Laguerre-based Apostol type polynomials Fubini polynomials Bell 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 derive some implicit summation formulae and symmetric identities for these families of special functions by applying the generating functions.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.2 20212021-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200313en10.22199/issn.0717-6279-2021-02-0019
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Gould-Hopper polynomials Laguerre type exponential Unified Apostol type polynomials Extended Laguerre-based Apostol type polynomials Fubini polynomials Bell polynomials
spellingShingle	Gould-Hopper polynomials Laguerre type exponential Unified Apostol type polynomials Extended Laguerre-based Apostol type polynomials Fubini polynomials Bell polynomials Pathan,M. A. Khan,Waseem A. On the three families of extended Laguerre-based Apostol-type polynomials
description	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.
author	Pathan,M. A. Khan,Waseem A.
author_facet	Pathan,M. A. Khan,Waseem A.
author_sort	Pathan,M. A.
title	On the three families of extended Laguerre-based Apostol-type polynomials
title_short	On the three families of extended Laguerre-based Apostol-type polynomials
title_full	On the three families of extended Laguerre-based Apostol-type polynomials
title_fullStr	On the three families of extended Laguerre-based Apostol-type polynomials
title_full_unstemmed	On the three families of extended Laguerre-based Apostol-type polynomials
title_sort	on the three families of extended laguerre-based apostol-type polynomials
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200313
work_keys_str_mv	AT pathanma onthethreefamiliesofextendedlaguerrebasedapostoltypepolynomials AT khanwaseema onthethreefamiliesofextendedlaguerrebasedapostoltypepolynomials
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On the three families of extended Laguerre-based Apostol-type polynomials

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