A Note on Kummer-Type II Transformation for the Generalized Hypergeometric Function~$_2F_{2}$
Matematičeskie zametki, Tome 91 (2012) no. 1, pp. 154-156.

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Keywords: hypergeometric function $_3F_{2}$, summation formula, Gauss summation theorem, Pochhammer identity
Mots-clés : Kummer-type transformation, Legendre duplication formula.
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M. A. Rakha. A Note on Kummer-Type II Transformation for the Generalized Hypergeometric Function~$_2F_{2}$. Matematičeskie zametki, Tome 91 (2012) no. 1, pp. 154-156. http://geodesic.mathdoc.fr/item/MZM_2012_91_1_a14/

[1] H. Exton, J. Comput. Appl. Math., 83:1 (1997), 119–121 | DOI | MR | Zbl

[2] E. D. Rainville, Special Functions, The Macmillan Co., New York, 1960 | MR | Zbl

[3] R. B. Paris, J. Comput. Appl. Math., 173:2 (2005), 379–382 | DOI | MR | Zbl

[4] A. K. Rathie, R. B. Paris, Far East J. Math. Sci. (FJMS), 27:1 (2007), 43–48 | MR | Zbl

[5] W. N. Bailey, Proc. London Math. Soc. (2), 28:1 (1928), 242–254 | DOI | Zbl

[6] L. J. Slater, Generalized Hypergeometric Functions, Cambridge Univ. Press, Cambridge, 1966 | MR | Zbl

[7] A. K. Rathie, J. Choi, Commun. Korean Math. Soc., 13:4 (1998), 933–936 | MR | Zbl

[8] A. K. Rathie, T. K Pogány, Math. Commun., 13:1 (2008), 63–66 | MR | Zbl