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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=-13/4, b>=a > For fixed z and a=-13/4, b=21/4





http://functions.wolfram.com/07.23.03.acv2.01









  


  








Input Form





Hypergeometric2F1[-(13/4), 21/4, 4, -z] == (1/(5917275 Pi z^3)) (256 (1 + z)^(1/4) (2 (32 - 231 z + 1965 z^2 + 109480 z^3 + 388080 z^4 + 458304 z^5 + 177408 z^6) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (32 - 255 z + 2160 z^2 + 61600 z^3 + 147840 z^4 + 88704 z^5) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (32 - 231 z + 1965 z^2 + 109480 z^3 + 388080 z^4 + 458304 z^5 + 177408 z^6) EllipticK[1/2 - 1/(2 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