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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=-9/4, b>=a > For fixed z and a=-9/4, b=7/4





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 7/4, 3, z] == (1/(9945 Pi z^2)) (64 (8 (15 - 15 z + 98 z^2 - 100 z^3 + 32 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-60 + 45 z - 77 z^2 + 32 z^3) EllipticK[(1/2) (1 - Sqrt[1 - z])] - 4 (15 - 15 z + 98 z^2 - 100 z^3 + 32 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