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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=23/4





http://functions.wolfram.com/07.23.03.age2.01









  


  










Input Form





Hypergeometric2F1[-(5/4), 23/4, 4, z] == (1/(14549535 Pi z^3)) (256 (-2 (224 + 1323 z + 8064 z^2 - 161792 z^3 + 196608 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] + ((224 + 1155 z + 7056 z^2 - 54272 z^3 + 49152 z^4) EllipticK[(1/2) (1 - Sqrt[1 - z])])/Sqrt[1 - z] + (224 + 1323 z + 8064 z^2 - 161792 z^3 + 196608 z^4) 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