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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=13/8





http://functions.wolfram.com/07.23.03.bf82.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 13/8, 11/2, z] == (1/(1811806161 z^(9/2))) (512 ((1 + Sqrt[z])^(31/4) (-55552 + 430528 Sqrt[z] - 1501392 z + 3159768 z^(3/2) - 4550769 z^2 + 4739652 z^(5/2) - 3503248 z^3 + 1722112 z^(7/2) - 499968 z^4 + 64512 z^(9/2)) + (1 - Sqrt[z])^(31/4) (55552 + 430528 Sqrt[z] + 1501392 z + 3159768 z^(3/2) + 4550769 z^2 + 4739652 z^(5/2) + 3503248 z^3 + 1722112 z^(7/2) + 499968 z^4 + 64512 z^(9/2))))








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