Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1186/1687-1847-2014-43 |
| Publisher: | SpringerOpen |
| Keywords: | Generalized hypergeometric series; Extension of Gauss and Kummer summation theorems; Polynomial |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 21 Dec 2015 11:23 |
| Last Modified: | 21 Dec 2015 11:23 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/1687-1847-2014-43 |
| URI: | http://psasir.upm.edu.my/id/eprint/34720 |
| Statistic Details: | View Download Statistic |
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