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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Representations through more general functions > Through Meijer G > Classical cases involving products of 2F1 with algebraic arguments





http://functions.wolfram.com/07.23.26.0121.01









  


  










Input Form





(2 + z + 2 Sqrt[1 + z])^(-a - b + c) Hypergeometric2F1[a, b, c, -((2 (1 - Sqrt[1 + z]))/z)] Hypergeometric2F1[-a + c, -b + c, c, -((2 (1 + Sqrt[1 + z]))/z)] == ((2^(1 - c) Sqrt[Pi] Gamma[c]^2)/ (Gamma[a] Gamma[b] Gamma[-a + c] Gamma[-b + c])) MeijerG[{{1 + c - a - b}, {(3 c)/2 - a - b, (1 + 3 c)/2 - a - b, 2 c - a - b}}, {{c - a, c - b, 2 c - 2 a - b, 2 c - a - 2 b}, {}}, z] /; !IntervalMemberQ[Interval[{-1, 0}], z]










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





© 1998- Wolfram Research, Inc.