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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=-47/8, b>=a > For fixed z and a=-47/8, b=13/8





http://functions.wolfram.com/07.23.03.b57x.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 13/8, 5/2, -z] == (16 (Sqrt[z] (-435643 + 26250279 z + 104724511 z^2 + 198591373 z^3 + 215031824 z^4 + 136500096 z^5 + 47511552 z^6 + 7028736 z^7) Cos[ArcTan[Sqrt[z]]/4] - (-1742572 + 3049501 z + 17071063 z^2 + 37669719 z^3 + 45009833 z^4 + 30728928 z^5 + 11328768 z^6 + 1757184 z^7) Sin[ArcTan[Sqrt[z]]/4]))/(405628245 z^(3/2) (1 + z)^(1/8))








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