Generalized hypergeometric function, Calculates the Generalized Hypergeometric Function at the desired accuracy. A numerical evaluator for the generalized hypergeometric function for complex arguments with large magnitudes using a direct summation of the Gauss series. pFq isdefined by (borrowed from Maple): pFq = sum(z^k / k! * product(pochhammer(n[i], k), i=1..p) / product(pochhammer(d[j], k), j=1..q), k=0..infinity ) The desired accuracy (number of digits) can be specified as a parameter. This function is a translation from the original fortran77 source code written by W. F. Perger from the Michigan Technological University.
References in zbMATH (referenced in 1 article )
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- Li, Zhuo; Liu, Lu; Dehghan, Sina; Chen, Yangquan; Xue, Dingyü: A review and evaluation of numerical tools for fractional calculus and fractional order controls (2017)