EVALUATION OF SOME EXPLICIT SUMMATION FORMULAE FOR TRUNCATED GAUSS FUNCTION AND APPLICATIONS

In this paper, some explicit expressions for truncated Gauss' hypergeometric series 2F1 with argument 2, when one numerator and one denominator parameters are negative integers such as 21 [Please download the PDF to view the mathematical expression] are obtained with the help of Whipple and Vid...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 12; no. 1; p. 52
Main Authors Qureshi, M. I, Jabee, S, Ahamad, D
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2022
Elman Hasanoglu
Subjects
Functions, Hypergeometric
Mathematical research
India
Online AccessGet full text
ISSN2146-1147
2146-1147

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Summary:In this paper, some explicit expressions for truncated Gauss' hypergeometric series 2F1 with argument 2, when one numerator and one denominator parameters are negative integers such as 21 [Please download the PDF to view the mathematical expression] are obtained with the help of Whipple and Vidunas identities respectively. Further, we derive some results as applications of these summation theorems. Keywords: Gauss' hypergeometric function, generalized hypergeometric function, truncated series. AMS Subject Classification: 33C05, 33C20, 44A10.
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ISSN:2146-1147
2146-1147