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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=-1/4, b>=a > For fixed z and a=-1/4, b=13/4





http://functions.wolfram.com/07.23.03.aho4.01









  


  








Input Form





Hypergeometric2F1[-(1/4), 13/4, 1, -z] == -((1/(45 Pi (1 + z)^(7/4))) (2 (-8 (26 + 57 z + 30 z^2) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (104 + 120 z^2 + 59 Sqrt[1 + z] + 12 z (19 + 5 Sqrt[1 + z])) 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