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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=39/8





http://functions.wolfram.com/07.23.03.b5nf.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 39/8, -(7/2), z] == (1/(8960 (1 - z)^(5/2))) (Sqrt[1 - z] (8960 + 55120 z + 280483 z^2 + 1710285 z^3 + 23536820 z^4 - 266483664 z^5 + 692886528 z^6 - 691004160 z^7 + 239016960 z^8) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (2240 + 13080 z + 65517 z^2 + 403655 z^3 + 104018996 z^4 - 541489968 z^5 + 1008511488 z^6 - 810512640 z^7 + 239016960 z^8) Sin[ArcSin[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