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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Transformations > Products, sums, and powers of the direct function > Products of the direct function





http://functions.wolfram.com/07.23.16.0006.01









  


  










Input Form





Hypergeometric2F1[a, b, c, g z] Hypergeometric2F1[\[Alpha], \[Beta], \[Gamma], h z] == Sum[Subscript[c, k] z^k, {k, 0, Infinity}] /; Subscript[c, k] == ((h^k Pochhammer[\[Alpha], k] Pochhammer[\[Beta], k])/ (k! Pochhammer[\[Gamma], k])) HypergeometricPFQ[ {-k, 1 - \[Gamma] - k, a, b}, {1 - \[Alpha] - k, 1 - \[Beta] - k, c}, g/h] || Subscript[c, k] == ((g^k Pochhammer[a, k] Pochhammer[b, k])/ (k! Pochhammer[c, k])) HypergeometricPFQ[{-k, 1 - c - k, \[Alpha], \[Beta]}, {1 - a - k, 1 - b - k, \[Gamma]}, h/g]










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29