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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=5/8





http://functions.wolfram.com/07.23.03.bf34.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 5/8, 7/2, -z] == (1/(28875231 z^(5/2) (1 + z)^(1/8))) (64 (Sqrt[z] (2852 + 22103 z + 553413 z^2 + 372437 z^3 + 201043 z^4 + 64080 z^5 + 8960 z^6) Cos[ArcTan[Sqrt[z]]/4] - (11408 + 91977 z + 435643 z^2 + 80003 z^3 + 45657 z^4 + 15320 z^5 + 2240 z^6) Sin[ArcTan[Sqrt[z]]/4]))








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