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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=-3/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), -(3/8), 21/4, z] == (1/(2252661565 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (34224 - 402132 z + 2343631 z^2 - 10143851 z^3 + 82814950 z^4 + 76205798 z^5 - 4383205 z^6 + 644873 z^7 - 51504 z^8 + (1/Sqrt[1 - z]) (-34224 + 419244 z - 2540419 z^2 + 11267539 z^3 - 87617718 z^4 + 34461074 z^5 + 49771105 z^6 - 6576417 z^7 + 918488 z^8 - 68672 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