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On a new class of summation formulas involving the generalized hypergeometric 2F2 polynomial

The aim of this research paper is to establish a quite general transformation involving the generalized hypergeometric function. Extensions of Kummer’s first transformation, Gauss and Kummer summation, and its contiguous results are then applied to obtain a new class of summation formulas involving...

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Main Authors: Rathie, Arjun Kumar, Kilicman, Adem
Format: Article
Language:English
Published: SpringerOpen 2014
Online Access:http://psasir.upm.edu.my/id/eprint/34720/1/On%20a%20new%20class%20of%20summation%20formulas.pdf
http://psasir.upm.edu.my/id/eprint/34720/
http://www.advancesindifferenceequations.com/content/2014/1/43/abstract
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spelling my.upm.eprints.347202015-12-21T11:23:22Z http://psasir.upm.edu.my/id/eprint/34720/ On a new class of summation formulas involving the generalized hypergeometric 2F2 polynomial Rathie, Arjun Kumar Kilicman, Adem The aim of this research paper is to establish a quite general transformation involving the generalized hypergeometric function. Extensions of Kummer’s first transformation, Gauss and Kummer summation, and its contiguous results are then applied to obtain a new class of summation formulas involving the generalized hypergeometric 2F2 polynomial, which have not previously appeared in the literature. A few well-known results obtained earlier by Kim et al. (Int. J. Math. Math. Sci. 2010:309503, 2010; Integral Transforms Spec. Funct. 23(6):435-444, 2012) and Exton have been obtained as special cases of our main findings. SpringerOpen 2014-01 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/34720/1/On%20a%20new%20class%20of%20summation%20formulas.pdf Rathie, Arjun Kumar and Kilicman, Adem (2014) On a new class of summation formulas involving the generalized hypergeometric 2F2 polynomial. Advances in Difference Equations, 2014. art. no. 43. pp. 1-10. ISSN 1687-1839; ESSN: 1687-1847 http://www.advancesindifferenceequations.com/content/2014/1/43/abstract 10.1186/1687-1847-2014-43
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description The aim of this research paper is to establish a quite general transformation involving the generalized hypergeometric function. Extensions of Kummer’s first transformation, Gauss and Kummer summation, and its contiguous results are then applied to obtain a new class of summation formulas involving the generalized hypergeometric 2F2 polynomial, which have not previously appeared in the literature. A few well-known results obtained earlier by Kim et al. (Int. J. Math. Math. Sci. 2010:309503, 2010; Integral Transforms Spec. Funct. 23(6):435-444, 2012) and Exton have been obtained as special cases of our main findings.
format Article
author Rathie, Arjun Kumar
Kilicman, Adem
spellingShingle Rathie, Arjun Kumar
Kilicman, Adem
On a new class of summation formulas involving the generalized hypergeometric 2F2 polynomial
author_facet Rathie, Arjun Kumar
Kilicman, Adem
author_sort Rathie, Arjun Kumar
title On a new class of summation formulas involving the generalized hypergeometric 2F2 polynomial
title_short On a new class of summation formulas involving the generalized hypergeometric 2F2 polynomial
title_full On a new class of summation formulas involving the generalized hypergeometric 2F2 polynomial
title_fullStr On a new class of summation formulas involving the generalized hypergeometric 2F2 polynomial
title_full_unstemmed On a new class of summation formulas involving the generalized hypergeometric 2F2 polynomial
title_sort on a new class of summation formulas involving the generalized hypergeometric 2f2 polynomial
publisher SpringerOpen
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/34720/1/On%20a%20new%20class%20of%20summation%20formulas.pdf
http://psasir.upm.edu.my/id/eprint/34720/
http://www.advancesindifferenceequations.com/content/2014/1/43/abstract
_version_ 1643831239116849152
score 13.211869

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