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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=-11/4, b>=a > For fixed z and a=-11/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 23/4, 3, -z] == (1/(6254325 Pi z^2 (1 + z)^(1/4))) (64 (8 Sqrt[1 + z] (-77 + 1386 z + 42660 z^2 + 127920 z^3 + 93600 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (748800 z^5 + 308 (1 + Sqrt[1 + z]) - 12480 z^4 (-97 + 30 Sqrt[1 + z]) - 77 z (71 + 72 Sqrt[1 + z]) - 360 z^2 (-65 + 474 Sqrt[1 + z]) - 240 z^3 (-2137 + 2132 Sqrt[1 + z])) EllipticK[1/2 - 1/(2 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