New extensions of associated Laguerre polynomials

The main object of this paper is to present new extensions of associated Laguerre polynomials. Some integral representations, recurrence relations, generating functions and summation formulae are obtained for these new extended Laguerre polynomials.

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Main Author: Ahmed Ali Al-Gonah
Format: Article
Language:English
Published: EJAAM 2020-12-01
Series:E-Journal of Analysis and Applied Mathematics
Subjects:
Online Access:https://ejaam.org/articles/2020/10.2478-ejaam-2020-0007.pdf
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author Ahmed Ali Al-Gonah
author_facet Ahmed Ali Al-Gonah
author_sort Ahmed Ali Al-Gonah
collection DOAJ
description The main object of this paper is to present new extensions of associated Laguerre polynomials. Some integral representations, recurrence relations, generating functions and summation formulae are obtained for these new extended Laguerre polynomials.
format Article
id doaj-art-a94ee96a85384c8785e387066fd7f9eb
institution Kabale University
issn 2544-9990
language English
publishDate 2020-12-01
publisher EJAAM
record_format Article
series E-Journal of Analysis and Applied Mathematics
spelling doaj-art-a94ee96a85384c8785e387066fd7f9eb2025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902020-12-01202010.2478/ejaam-2020-0007New extensions of associated Laguerre polynomialsAhmed Ali Al-Gonah0Department of Mathematics, Faculty of Science, Aden University, Aden, YemenThe main object of this paper is to present new extensions of associated Laguerre polynomials. Some integral representations, recurrence relations, generating functions and summation formulae are obtained for these new extended Laguerre polynomials.https://ejaam.org/articles/2020/10.2478-ejaam-2020-0007.pdfextended beta functionassociated laguerre polynomialsgenerating functionsintegral formulae
spellingShingle Ahmed Ali Al-Gonah
New extensions of associated Laguerre polynomials
E-Journal of Analysis and Applied Mathematics
extended beta function
associated laguerre polynomials
generating functions
integral formulae
title New extensions of associated Laguerre polynomials
title_full New extensions of associated Laguerre polynomials
title_fullStr New extensions of associated Laguerre polynomials
title_full_unstemmed New extensions of associated Laguerre polynomials
title_short New extensions of associated Laguerre polynomials
title_sort new extensions of associated laguerre polynomials
topic extended beta function
associated laguerre polynomials
generating functions
integral formulae
url https://ejaam.org/articles/2020/10.2478-ejaam-2020-0007.pdf
work_keys_str_mv AT ahmedalialgonah newextensionsofassociatedlaguerrepolynomials