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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.b573.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 13/8, -(9/2), -z] == (1/(46080 (1 + z)^(1/8))) (-4 (-11520 + 23360 z - 41955 z^2 + 78316 z^3 - 175200 z^4 + 760320 z^5 + 1757184 z^6) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (11520 - 26960 z + 51325 z^2 - 97056 z^3 + 211200 z^4 + 1757184 z^5) 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