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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=-29/8, b>=a > For fixed z and a=-29/8, b=31/8





http://functions.wolfram.com/07.23.03.bh1i.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 31/8, 7/2, z] == (1/(129610635 z^(5/2))) (32 ((1 + Sqrt[z])^(13/4) (18096 - 58812 Sqrt[z] + 226577 z - 548912 z^(3/2) + 2280096 z^2 - 3717504 z^(5/2) - 6918912 z^3 + 24532992 z^(7/2) - 22843392 z^4 + 7028736 z^(9/2)) + (1 - Sqrt[z])^(13/4) (-18096 - 58812 Sqrt[z] - 226577 z - 548912 z^(3/2) - 2280096 z^2 - 3717504 z^(5/2) + 6918912 z^3 + 24532992 z^(7/2) + 22843392 z^4 + 7028736 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