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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=-17/4, b>=a > For fixed z and a=-17/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 23/4, 2, z] == (1/(14549535 Pi z)) (8 (2 (-36465 + 6847844 z - 66265088 z^2 + 202301440 z^3 - 243269632 z^4 + 100663296 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (36465 (1 + Sqrt[1 - z]) - 4 (1711961 + 800336 Sqrt[1 - z]) z + 2048 (32356 + 10599 Sqrt[1 - z]) z^2 - 8192 (24695 + 5216 Sqrt[1 - z]) z^3 + 8388608 (29 + 3 Sqrt[1 - z]) z^4 - 100663296 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