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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=-15/4, b>=a > For fixed z and a=-15/4, b=-15/4





http://functions.wolfram.com/07.23.03.ab0w.01









  


  








Input Form





Hypergeometric2F1[-(15/4), -(15/4), 2, -z] == (1/(138985 Pi z Sqrt[1 + Sqrt[1 + z]])) (8 Sqrt[2] ((-Sqrt[1 + z]) (385 - 35572 z + 141198 z^2 - 96068 z^3 + 9657 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (385 - 35187 z + 105626 z^2 + 45130 z^3 - 86411 z^4 + 9657 z^5) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + Sqrt[1 + z] (385 - 35572 z + 141198 z^2 - 96068 z^3 + 9657 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (385 - 537 z - 127646 z^2 + 304294 z^3 - 127427 z^4 + 7315 z^5) EllipticK[(-1 + Sqrt[1 + z])/(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