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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=29/8





http://functions.wolfram.com/07.23.03.b5gk.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 29/8, -(9/2), -z] == (1/(64512 (1 + z)^(17/8))) (-2 (-32256 + 85120 z - 209170 z^2 + 573729 z^3 - 2103270 z^4 + 18066048 z^5 + 120586752 z^6 + 173015040 z^7 + 73531392 z^8) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (16128 - 47600 z + 120783 z^2 - 329199 z^3 + 1166880 z^4 + 39866112 z^5 + 75018240 z^6 + 36765696 z^7) 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