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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=-7/4, b>=a > For fixed z and a=-7/4, b=23/4





http://functions.wolfram.com/07.23.03.afh8.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 23/4, 1, -z] == (1/(21945 Pi (1 + z)^(11/4))) (2 ((51026 + 399106 z + 924048 z^2 + 850080 z^3 + 274560 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (-25513 - 3568 Sqrt[1 + z] + 137280 z^4 (-1 + 2 Sqrt[1 + z]) + 2640 z^3 (-161 + 244 Sqrt[1 + z]) + 72 z^2 (-6417 + 6410 Sqrt[1 + z]) + z (-199553 + 88408 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