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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=-5/4, b>=a > For fixed z and a=-5/4, b=19/4





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









  


  










Input Form





Hypergeometric2F1[-(5/4), 19/4, 3, z] == (1/(135135 Pi z^2)) (64 (-8 (7 + 63 z - 1536 z^2 + 2048 z^3) EllipticE[(1/2) (1 - Sqrt[1 - z])] + ((28 + 231 z - 2112 z^2 + 2048 z^3) EllipticK[(1/2) (1 - Sqrt[1 - z])])/ Sqrt[1 - z] + 4 (7 + 63 z - 1536 z^2 + 2048 z^3) EllipticK[(1/2) (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