科研之友
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摘要
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 >0 and >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 .
- 出版日期2013-4-1
