Abstract
Motivated by some recent applications of a certain triple series hypergeometric function in the areas of physics and statistics, we investigate further Saran's work (e.g., [Acta Math. 93 (1955), 293–312]) related to this useful hypergeometric function FK. Its analytic continuation and asymptotics are obtained by establishing a new single contour integral representation. With the help of the fractional integration by parts, we prove a new integral identity and discuss in detail its various special cases and their relationship with Koschmieder's work [Acta Math. 79 (1947), 241–254]. Several consequences and special cases of the results presented in this paper are also mentioned.
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