The Second Kummer Function with Matrix Parameters and Its Asymptotic Behaviour

The Second Kummer Function with Matrix Parameters and Its Asymptotic Behaviour

In the present article, we introduce the second Kummer function with matrix parameters and examine its asymptotic behaviour relying on the residue theorem. Further, we provide a closed form of a solution of a Weber matrix differential equation and give a representation using the second Kummer functi...

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Main Authors: Georg Wehowar, Erika Hausenblas
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2018/7534651
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spelling doaj-97541bdf5c7341fc837c2dd4ba75b3162020-11-25T00:13:44ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092018-01-01201810.1155/2018/75346517534651The Second Kummer Function with Matrix Parameters and Its Asymptotic BehaviourGeorg Wehowar0Erika Hausenblas1Montanuniversität Leoben, AustriaMontanuniversität Leoben, AustriaIn the present article, we introduce the second Kummer function with matrix parameters and examine its asymptotic behaviour relying on the residue theorem. Further, we provide a closed form of a solution of a Weber matrix differential equation and give a representation using the second Kummer function.http://dx.doi.org/10.1155/2018/7534651
collection DOAJ
language English
format Article
sources DOAJ
author Georg Wehowar
Erika Hausenblas
spellingShingle Georg Wehowar
Erika Hausenblas
The Second Kummer Function with Matrix Parameters and Its Asymptotic Behaviour
Abstract and Applied Analysis
author_facet Georg Wehowar
Erika Hausenblas
author_sort Georg Wehowar
title The Second Kummer Function with Matrix Parameters and Its Asymptotic Behaviour
title_short The Second Kummer Function with Matrix Parameters and Its Asymptotic Behaviour
title_full The Second Kummer Function with Matrix Parameters and Its Asymptotic Behaviour
title_fullStr The Second Kummer Function with Matrix Parameters and Its Asymptotic Behaviour
title_full_unstemmed The Second Kummer Function with Matrix Parameters and Its Asymptotic Behaviour
title_sort second kummer function with matrix parameters and its asymptotic behaviour
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2018-01-01
description In the present article, we introduce the second Kummer function with matrix parameters and examine its asymptotic behaviour relying on the residue theorem. Further, we provide a closed form of a solution of a Weber matrix differential equation and give a representation using the second Kummer function.
url http://dx.doi.org/10.1155/2018/7534651
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AT erikahausenblas thesecondkummerfunctionwithmatrixparametersanditsasymptoticbehaviour
AT georgwehowar secondkummerfunctionwithmatrixparametersanditsasymptoticbehaviour
AT erikahausenblas secondkummerfunctionwithmatrixparametersanditsasymptoticbehaviour
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