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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.b5qt.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 45/8, -(9/2), -z] == (1/(7691264 (1 + z)^(33/8))) (-4 (-1922816 + 6249152 z - 19529673 z^2 + 70917789 z^3 - 362646102 z^4 + 4669762526 z^5 + 51437504976 z^6 + 146948634624 z^7 + 186797309952 z^8 + 112233414656 z^9 + 26079133696 z^10) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (1922816 - 6850032 z + 21828039 z^2 - 78382650 z^3 + 389274743 z^4 + 27589488784 z^5 + 105500626176 z^6 + 156410462208 z^7 + 104083685376 z^8 + 26079133696 z^9) 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