On some properties of the generalized Mittag-Leffler function

ABSTRACT: This paper deals with the study of a generalized function of Mittag-Leffler type. Various properties including usual differentiation and integration, Euler(Beta) transforms, Laplace transforms, Whittaker transforms, generalized hypergeometric series form with their several special cases ar...

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Detalles Bibliográficos
Autores principales: Khan, Mumtaz Ahmad, Ahmed, Shakeel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2013
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3765609/
https://www.ncbi.nlm.nih.gov/pubmed/24024085
http://dx.doi.org/10.1186/2193-1801-2-337
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author Khan, Mumtaz Ahmad
Ahmed, Shakeel
author_facet Khan, Mumtaz Ahmad
Ahmed, Shakeel
author_sort Khan, Mumtaz Ahmad
collection PubMed
description ABSTRACT: This paper deals with the study of a generalized function of Mittag-Leffler type. Various properties including usual differentiation and integration, Euler(Beta) transforms, Laplace transforms, Whittaker transforms, generalized hypergeometric series form with their several special cases are obtained and relationship with Wright hypergeometric function and Laguerre polynomials is also established. 2000 MATHEMATICS SUBJECT CLASSIFICATION: 33C45, 47G20, 26A33.
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spelling pubmed-37656092013-09-10 On some properties of the generalized Mittag-Leffler function Khan, Mumtaz Ahmad Ahmed, Shakeel Springerplus Research ABSTRACT: This paper deals with the study of a generalized function of Mittag-Leffler type. Various properties including usual differentiation and integration, Euler(Beta) transforms, Laplace transforms, Whittaker transforms, generalized hypergeometric series form with their several special cases are obtained and relationship with Wright hypergeometric function and Laguerre polynomials is also established. 2000 MATHEMATICS SUBJECT CLASSIFICATION: 33C45, 47G20, 26A33. Springer International Publishing 2013-07-23 /pmc/articles/PMC3765609/ /pubmed/24024085 http://dx.doi.org/10.1186/2193-1801-2-337 Text en © Khan and Ahmed; licensee Springer. 2013 This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research
Khan, Mumtaz Ahmad
Ahmed, Shakeel
On some properties of the generalized Mittag-Leffler function
title On some properties of the generalized Mittag-Leffler function
title_full On some properties of the generalized Mittag-Leffler function
title_fullStr On some properties of the generalized Mittag-Leffler function
title_full_unstemmed On some properties of the generalized Mittag-Leffler function
title_short On some properties of the generalized Mittag-Leffler function
title_sort on some properties of the generalized mittag-leffler function
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3765609/
https://www.ncbi.nlm.nih.gov/pubmed/24024085
http://dx.doi.org/10.1186/2193-1801-2-337
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