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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=19/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 19/4, 2, z] == (1/(2297295 Pi z)) (8 (2 (-7293 + 1050915 z - 8390784 z^2 + 21825536 z^3 - 22872064 z^4 + 8388608 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (7293 (1 + Sqrt[1 - z]) - 3 (350305 + 158256 Sqrt[1 - z]) z + 384 (21851 + 6728 Sqrt[1 - z]) z^2 - 2048 (10657 + 2056 Sqrt[1 - z]) z^3 + 65536 (349 + 32 Sqrt[1 - z]) z^4 - 8388608 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