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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=7/4, b>=a > For fixed z and a=7/4, b=23/4





http://functions.wolfram.com/07.23.03.aks6.01









  


  








Input Form





Hypergeometric2F1[7/4, 23/4, 3, -z] == (1/(65835 Pi z^2 Sqrt[1 + Sqrt[1 + z]])) (64 Sqrt[2] ((4 (77 + 231 z + 492 z^2 + 364 z^3 + 96 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^4 + (4 (77 + 231 z + 492 z^2 + 364 z^3 + 96 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(7/2) - (4 (77 + 231 z + 492 z^2 + 364 z^3 + 96 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^4 - ((308 + 1155 z + 582 z^2 + 391 z^3 + 96 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(9/2)))








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