Abstract
Summation, transformation and reduction formulas for various families of hypergeometric functions in one, two and more variables are potentially useful in many diverse areas of applications. The main object of this paper is to derive several substantially more general results on this subject than those considered recently by Neethu et al. [7] in connection with Bailey’s transformation involving the Gauss hypergeometrc function 2F 1 (see [1]). The methodology used here is based essentially on some families of hypergeometric generating functions. Relevant connections of the results presented in this paper with those in the earlier works are also pointed out.
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Srivastava, H.M. Some families of generating functions and associated hypergeometric transformation and reduction formulas. Russ. J. Math. Phys. 23, 382–391 (2016). https://doi.org/10.1134/S1061920816030080
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DOI: https://doi.org/10.1134/S1061920816030080