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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=45/8





http://functions.wolfram.com/07.23.03.b5rs.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 45/8, 7/2, -z] == (64 (4 Sqrt[z] (100533 - 1776083 z + 3180705424 z^2 + 30968108226 z^3 + 114729811504 z^4 + 213255342080 z^5 + 213286993920 z^6 + 109987102720 z^7 + 23011000320 z^8) Cos[ArcTan[Sqrt[z]]/4] - (1608528 - 27914663 z + 851112378 z^2 + 15551105801 z^3 + 74911103344 z^4 + 163506942720 z^5 + 183050813440 z^6 + 102796165120 z^7 + 23011000320 z^8) Sin[ArcTan[Sqrt[z]]/4]))/ (800498592663 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