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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Format: | Article |
Language: | English |
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EJAAM
2020-12-01
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Series: | E-Journal of Analysis and Applied Mathematics |
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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 |