Expressions of the Laguerre polynomial and some other special functions in terms of the generalized Meijer $ G $-functions

In this paper, we investigate the relation of generalized Meijer $ G $-functions with some other special functions. We prove the generalized form of Laguerre polynomials, product of Laguerre polynomials with exponential functions, logarithmic functions in terms of generalized Meijer $ G $-functions....

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 11; pp. 11631 - 11641
Main Authors Shah, Syed Ali Haider, Mubeen, Shahid
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
confluent hypergeometric function
generalized meijer g-function
hypergeometric function
laguerre polynomial
meijer g-function
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Summary:In this paper, we investigate the relation of generalized Meijer $ G $-functions with some other special functions. We prove the generalized form of Laguerre polynomials, product of Laguerre polynomials with exponential functions, logarithmic functions in terms of generalized Meijer $ G $-functions. The generalized confluent hypergeometric functions and generalized tricomi confluent hypergeometric functions are also expressed in terms of the generalized Meijer $ G $-functions.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021676