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- W2068534194 abstract "Exton introduced 20 distinct triple hypergeometric functions whose names are Xi (i = 1,<TEX>$ldots$</TEX>, 20) to investigate their twenty Laplace integral representations whose kernels include the confluent hypergeometric functions <TEX>$_0F_1$</TEX>, <TEX>$_1F_1$</TEX>, a Humbert function <TEX>$Psi_2$</TEX>, a Humbert function <TEX>$Phi_2$</TEX>. The object of this paper is to present 25 (presumably new) integral representations of Euler types for the Exton hypergeometric function <TEX>$X_5$</TEX> among his twenty <TEX>$X_i$</TEX> (i = 1,<TEX>$ldots$</TEX>, 20), whose kernels include the Exton function X5 itself, the Exton function <TEX>$X_6$</TEX>, the Horn's functions <TEX>$H_3$</TEX> and <TEX>$H_4$</TEX>, and the hypergeometric function F = <TEX>$_2F_1$</TEX>." @default.
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- W2068534194 date "2010-09-25" @default.
- W2068534194 modified "2023-10-18" @default.
- W2068534194 title "CERTAIN INTEGRAL REPRESENTATIONS OF EULER TYPE FOR THE EXTON FUNCTION X5" @default.
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- W2068534194 doi "https://doi.org/10.5831/hmj.2010.32.3.389" @default.
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