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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=-43/8





http://functions.wolfram.com/07.23.03.b4lr.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(43/8), -(5/2), -z] == (1/(320 (1 + z)^(1/8))) ((320 + 4072 z + 29103 z^2 + 253092 z^3 - 997518 z^4 + 403948 z^5 - 13545 z^6) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (80 + 993 z + 6972 z^2 + 719742 z^3 - 816772 z^4 + 112297 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