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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.bfbn.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 21/8, -(11/2), z] == (1/270336) ((1/(1 - Sqrt[z])^(17/4)) (135168 - 574464 Sqrt[z] + 1183488 z - 1762560 z^(3/2) + 2234720 z^2 - 2536060 z^(5/2) + 2641555 z^3 - 2536060 z^(7/2) + 2234720 z^4 - 1762560 z^(9/2) + 1183488 z^5 - 574464 z^(11/2) + 135168 z^6) + (1/(1 + Sqrt[z])^(17/4)) (135168 + 574464 Sqrt[z] + 1183488 z + 1762560 z^(3/2) + 2234720 z^2 + 2536060 z^(5/2) + 2641555 z^3 + 2536060 z^(7/2) + 2234720 z^4 + 1762560 z^(9/2) + 1183488 z^5 + 574464 z^(11/2) + 135168 z^6))








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