Extension of a quadratic transformation due to Exton (CROSBI ID 149721)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Poganj, Tibor ; Arjun K. Rathie
engleski
Extension of a quadratic transformation due to Exton
By applying various known summation theorems to a general formula based upon Bailey's transform theorem due to Slater, Exton has obtained numerous new quadratic transformations involving hypergeometric functions of two and of higher order. Some of the results have typographical errors and have been corrected recently by Choi and Rathie. In addition, two new quadratic transformation formul{; ; ; \ae}; ; ; were also obtained in [Junesang Choi, A.K. Rathie, Quadratic transformations involving hypergeometric functions of two and higher order. EAMJ, East Asian Math. J. 22:71--77 (2006)]. The aim of this research paper is to obtain a generalization of one of the Exton's quadratic transformation. The results are derived with the help of generalized Kummer's theorem obtained earlier by Lavoie, Grondin and Rathie. As special cases, we mention six interesting results closely related to that of Exton's result.
Quadratic transformation; hypergeometric function of order two; Kummer--type transformations; Bailey's transform
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Podaci o izdanju
215 (1)
2009.
423-426
objavljeno
0096-3003
10.1016/j.amc.2009.04.071