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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.aksa.01









  


  








Input Form





Hypergeometric2F1[7/4, 23/4, 4, -z] == (1/(109725 Pi z^3 Sqrt[1 + Sqrt[1 + z]])) (256 Sqrt[2] (((-224 - 273 z + 315 z^2 + 848 z^3 + 384 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^3 + ((-224 - 273 z + 315 z^2 + 848 z^3 + 384 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(5/2) - ((-224 - 441 z + 126 z^2 + 239 z^3 + 96 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(7/2) - ((-224 - 273 z + 315 z^2 + 848 z^3 + 384 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^3))








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