[seqfan] Question on 2F1 from Karol A. Penson

Karol PENSON penson at lptl.jussieu.fr
Mon Jul 8 18:08:06 CEST 2013


Dear  Seqfans,

Does anyone know how to express the special values of the hypergeometric 
functions
2F1 in the form  Hypergeometric2F1[1, 1/2 + n, 3 + n, -3], n>=0, in 
terms of gamma functions  ?
Mathematica tells us that for a given n these values are ratios of 
positive integers:
i.e. for n=3 it is equal to  278/729.

Thanks in advance ,

    Karol A. Penson



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