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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=21/8





http://functions.wolfram.com/07.23.03.b5cp.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 21/8, 7/2, -z] == (64 (Sqrt[z] (402132 - 368621 z + 87363721 z^2 + 402637113 z^3 + 821254799 z^4 + 929109216 z^5 + 607318272 z^6 + 215863296 z^7 + 32440320 z^8) Cos[ArcTan[Sqrt[z]]/4] - (1608528 - 971819 z + 9148503 z^2 + 63838319 z^3 + 154066253 z^4 + 193519728 z^5 + 136422528 z^6 + 51431424 z^7 + 8110080 z^8) Sin[ArcTan[Sqrt[z]]/4]))/(5435418483 z^(5/2) (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