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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=-31/8, b>=a > For fixed z and a=-31/8, b=21/8





http://functions.wolfram.com/07.23.03.bfd0.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 21/8, 11/2, z] == (1/(23553480093 z^(9/2))) (512 ((1 + Sqrt[z])^(27/4) (1277696 - 8624448 Sqrt[z] + 27687216 z - 58779720 z^(3/2) + 95050743 z^2 - 123437412 z^(5/2) + 129207008 z^3 - 103493376 z^(7/2) + 57496320 z^4 - 19160064 z^(9/2) + 2838528 z^5) - (1 - Sqrt[z])^(27/4) (1277696 + 8624448 Sqrt[z] + 27687216 z + 58779720 z^(3/2) + 95050743 z^2 + 123437412 z^(5/2) + 129207008 z^3 + 103493376 z^(7/2) + 57496320 z^4 + 19160064 z^(9/2) + 2838528 z^5)))








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