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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=3/4





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









  


  








Input Form





Hypergeometric2F1[-(5/4), 3/4, 5, z] == (1/(2714985 Pi z^4)) (4096 (-4 (64 - 360 z + 849 z^2 - 1132 z^3 - 507 z^4 + 78 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-128 + 688 z - 1541 z^2 + 1950 z^3 + 39 z^4) EllipticK[(1/2) (1 - Sqrt[1 - z])] + 2 (64 - 360 z + 849 z^2 - 1132 z^3 - 507 z^4 + 78 z^5) 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