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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 8 and fixed z and a<0 > For fixed z and a=-47/8, b>=a > For fixed z and a=-47/8, b=21/8





http://functions.wolfram.com/07.23.03.b5ce.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 21/8, 3/2, z] == (1/(2291685 Sqrt[z])) (2 ((1 + Sqrt[z])^(19/4) (33511 + 413744 Sqrt[z] - 3171680 z + 5216640 z^(3/2) + 5054720 z^2 - 25253888 z^(5/2) + 31223808 z^3 - 17121280 z^(7/2) + 3604480 z^4) - (1 - Sqrt[z])^(19/4) (33511 - 413744 Sqrt[z] - 3171680 z - 5216640 z^(3/2) + 5054720 z^2 + 25253888 z^(5/2) + 31223808 z^3 + 17121280 z^(7/2) + 3604480 z^4)))








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