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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=21/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 21/4, 2, -z] == (1/(69615 Pi z)) (8 (1 + z)^(1/4) (2 (195 + 45974 z + 432432 z^2 + 1273888 z^3 + 1478400 z^4 + 591360 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (195 + 28424 z + 218064 z^2 + 468160 z^3 + 295680 z^4) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (195 + 45974 z + 432432 z^2 + 1273888 z^3 + 1478400 z^4 + 591360 z^5) 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