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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=23/4, b>=a > For fixed z and a=23/4, b=23/4





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









  


  










Input Form





Hypergeometric2F1[23/4, 23/4, 4, z] == (1/(22932525 Pi (-1 + z)^8 z^3)) (256 (-2 (-1 + z) (224 - 2401 z + 16443 z^2 + 97501 z^3 + 25513 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-1 + z) (224 - 2401 z + 16443 z^2 + 97501 z^3 + 25513 z^4) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-224 + 2569 z - 18228 z^2 + 93830 z^3 + 174668 z^4 + 21945 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