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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=-7/4, b>=a > For fixed z and a=-7/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(7/4), 21/4, 3, z] == (1/(765765 Pi z^2)) (64 ((2 (-84 - 987 z + 37504 z^2 - 100352 z^3 + 65536 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])])/Sqrt[1 - z] + 4 (21 + 252 z - 3328 z^2 + 4096 z^3) EllipticK[(1/2) (1 - Sqrt[1 - z])] - ((-84 - 987 z + 37504 z^2 - 100352 z^3 + 65536 z^4) EllipticK[(1/2) (1 - Sqrt[1 - z])])/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