Generating relations of multi-variable Tricomi functions of two indices using Lie algebra representation

This paper is an attempt to stress the usefulness of the multi-variable special functions. In this paper, we derive certain generating relations involving 2-indices 5-variables 5-parameters Tricomi functions (2I5V5PTF) by using a Lie-algebraic method. Further, we derive certain new and known generat...

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Main Author: Nader Ali Makboul Hassan
Format: Article
Language:English
Published: Emerald Publishing 2014-01-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516613000133
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author Nader Ali Makboul Hassan
author_facet Nader Ali Makboul Hassan
author_sort Nader Ali Makboul Hassan
collection DOAJ
description This paper is an attempt to stress the usefulness of the multi-variable special functions. In this paper, we derive certain generating relations involving 2-indices 5-variables 5-parameters Tricomi functions (2I5V5PTF) by using a Lie-algebraic method. Further, we derive certain new and known generating relations involving other forms of Tricomi and Bessel functions as applications.
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spelling doaj.art-1b7b5236276d4ebb8106eb48896d9b1b2022-12-21T21:34:57ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662014-01-0120110111810.1016/j.ajmsc.2013.05.002Generating relations of multi-variable Tricomi functions of two indices using Lie algebra representationNader Ali Makboul HassanThis paper is an attempt to stress the usefulness of the multi-variable special functions. In this paper, we derive certain generating relations involving 2-indices 5-variables 5-parameters Tricomi functions (2I5V5PTF) by using a Lie-algebraic method. Further, we derive certain new and known generating relations involving other forms of Tricomi and Bessel functions as applications.http://www.sciencedirect.com/science/article/pii/S131951661300013333C1033C8033E20
spellingShingle Nader Ali Makboul Hassan
Generating relations of multi-variable Tricomi functions of two indices using Lie algebra representation
Arab Journal of Mathematical Sciences
33C10
33C80
33E20
title Generating relations of multi-variable Tricomi functions of two indices using Lie algebra representation
title_full Generating relations of multi-variable Tricomi functions of two indices using Lie algebra representation
title_fullStr Generating relations of multi-variable Tricomi functions of two indices using Lie algebra representation
title_full_unstemmed Generating relations of multi-variable Tricomi functions of two indices using Lie algebra representation
title_short Generating relations of multi-variable Tricomi functions of two indices using Lie algebra representation
title_sort generating relations of multi variable tricomi functions of two indices using lie algebra representation
topic 33C10
33C80
33E20
url http://www.sciencedirect.com/science/article/pii/S1319516613000133
work_keys_str_mv AT naderalimakboulhassan generatingrelationsofmultivariabletricomifunctionsoftwoindicesusingliealgebrarepresentation