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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=-17/4, b>=a > For fixed z and a=-17/4, b=23/4





http://functions.wolfram.com/07.23.03.aaz9.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 23/4, 1, z] == (1/(14549535 Pi)) (2 (8 (7759469 - 143669760 z + 646797312 z^2 - 1027604480 z^3 + 528482304 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (1/Sqrt[1 - z]) ((16488341 - 234219072 z + 867686400 z^2 - 1176240128 z^3 + 528482304 z^4) EllipticK[(1/2) (1 - Sqrt[1 - z])]) - 4 (7759469 - 143669760 z + 646797312 z^2 - 1027604480 z^3 + 528482304 z^4) EllipticK[(1/2) (1 - Sqrt[1 - 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)





2007-05-02