On series representations for modified Bessel function of second kind of integer order

The main aim of this paper is to establish two finite sum representation formulae for the modified Bessel function of the second kind of positive integer order : one of them includes among the generalized hypergeometric function and the another which includes and the modified Bessel functions of the...

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Bibliographic Details
Published inIntegral transforms and special functions Vol. 30; no. 3; pp. 181 - 189
Main Authors Jankov Maširević, Dragana, Pogány, Tibor K.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 04.03.2019
Taylor & Francis Ltd
Subjects
Basset function
Bessel functions
generalized hypergeometric function
Hypergeometric functions
Kampé de Fériet function
Macdonald function
Modified Bessel functions of the first and second kind
Primary: 33C10
Representations
Secondary: 33E20
series representation
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ISSN1065-2469
1476-8291
DOI10.1080/10652469.2018.1550486

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Summary:The main aim of this paper is to establish two finite sum representation formulae for the modified Bessel function of the second kind of positive integer order : one of them includes among the generalized hypergeometric function and the another which includes and the modified Bessel functions of the first kind and .
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1065-2469
1476-8291
DOI:10.1080/10652469.2018.1550486