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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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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Abstract 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.
AbstractList In this paper, some explicit expressions for truncated Gauss' hypergeomet- ric series 2F1 with argument 2, when one numerator and one denominator parameters are negative integers such as 2F1 -m; a; -2m + j; 2 m ; m > j and 2F1 -m; a; -2m - j; 2 m ; m; j 2 N are obtained with the help of Whipple and Vidunas identities respectively. Further, we derive some results as applications of these summation theorems.
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.
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.
Audience Academic
Author Jabee, S
Qureshi, M. I
Ahamad, D
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Elman Hasanoglu
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Snippet In this paper, some explicit expressions for truncated Gauss' hypergeometric series 2F1 with argument 2, when one numerator and one denominator parameters are...
In this paper, some explicit expressions for truncated Gauss' hypergeomet- ric series 2F1 with argument 2, when one numerator and one denominator parameters...
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SubjectTerms Functions, Hypergeometric
Mathematical research
Title EVALUATION OF SOME EXPLICIT SUMMATION FORMULAE FOR TRUNCATED GAUSS FUNCTION AND APPLICATIONS
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