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- W2026151156 abstract "We show that the hypergeometric function p F q is the mean of 0 F q with its last argument multiplied by the product of independent gamma random variables. We use this to express for α>0 and β>0 in terms of 1 F 1, where I p is the modified Bessel function. A second derivation gives the moments of the non-central chi-square random variable. Some related results are derived, including an analog of Gauss's duplication formula for p F q ." @default.
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- W2026151156 date "2013-04-01" @default.
- W2026151156 modified "2023-09-26" @default.
- W2026151156 title "A reduction formula for the hypergeometric function using gamma random variables" @default.
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- W2026151156 doi "https://doi.org/10.1080/02331888.2011.591494" @default.
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