SOME QUADRATIC TRANSFORMATIONS MOTIVATED BY THE WORK OF KUMMER AND THEIR GENERALIZATIONS

In this paper, we construct two quadratic transformations influenced by the work of Kummer and application of hypergeometric summation theorems of argument "two". Further, we establish some generalizations of these quadratic transformations in terms of double series identities having the b...

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Published inTWMS journal of applied and engineering mathematics Vol. 10; no. 4; p. 1055
Main Authors Qureshi, M.I, Quraishi, Kaleem A, Khan, M. Kashif
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2020
Elman Hasanoglu
Subjects
Employee motivation
Hypergeometric functions
Series (mathematics)
Transformations (mathematics)
India
Online AccessGet full text
ISSN2146-1147
2146-1147

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Abstract In this paper, we construct two quadratic transformations influenced by the work of Kummer and application of hypergeometric summation theorems of argument "two". Further, we establish some generalizations of these quadratic transformations in terms of double series identities having the bounded sequence. Three reduction formulas for Kampe de Feriet's double hypergeometric functions are also obtained as special cases. Keywords: Generalized hypergeometric function, Hypergeometric summation theorems, Quadratic transformations, Bounded sequence. AMS Subject Classification: Primary 33C05, Secondary 33C20
AbstractList In this paper, we construct two quadratic transformations influenced by the work of Kummer and application of hypergeometric summation theorems of argument "two". Further, we establish some generalizations of these quadratic transformations in terms of double series identities having the bounded sequence. Three reduction formulas for Kampe de Feriet's double hypergeometric functions are also obtained as special cases.
In this paper, we construct two quadratic transformations influenced by the work of Kummer and application of hypergeometric summation theorems of argument "two". Further, we establish some generalizations of these quadratic transformations in terms of double series identities having the bounded sequence. Three reduction formulas for Kampe de Feriet's double hypergeometric functions are also obtained as special cases. Keywords: Generalized hypergeometric function, Hypergeometric summation theorems, Quadratic transformations, Bounded sequence. AMS Subject Classification: Primary 33C05, Secondary 33C20
In this paper, we construct two quadratic transformations influenced by the work of Kummer and application of hypergeometric summation theorems of argument “two”. Further, we establish some generalizations of these quadratic transformations in terms of double series identities having the bounded sequence. Three reduction formulas for Kamp ́e de F ́eriet’s double hypergeometric functions are also obtained as special cases.
Audience Academic
Author Qureshi, M.I
Quraishi, Kaleem A
Khan, M. Kashif
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Elman Hasanoglu
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SubjectTerms Employee motivation
Hypergeometric functions
Series (mathematics)
Transformations (mathematics)
Title SOME QUADRATIC TRANSFORMATIONS MOTIVATED BY THE WORK OF KUMMER AND THEIR GENERALIZATIONS
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