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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=45/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 45/8, 21/4, z] == (1/(2252661565 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (34224 + 111228 z + 418531 z^2 + 2348622 z^3 + 54195843 z^4 - 298494240 z^5 + 531522816 z^6 - 400502784 z^7 + 110297088 z^8 + (1/Sqrt[1 - z]) (-34224 - 94116 z - 358639 z^2 - 2123314 z^3 - 52960927 z^4 + 396312852 z^5 - 988094976 z^6 + 1159910400 z^7 - 659619840 z^8 + 147062784 z^9)))








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