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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.b4mc.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(43/8), 7/2, -z] == (1/(15523431 z^(5/2) (1 + z)^(1/8))) (64 (Sqrt[z] (4 + 175 z + 251433 z^2 - 2390245 z^3 + 5993845 z^4 - 5093907 z^5 + 1470875 z^6 - 117751 z^7 + 1155 z^8) Cos[ArcTan[Sqrt[z]]/4] - (16 + 705 z + 35735 z^2 - 947947 z^3 + 4365075 z^4 - 6299293 z^5 + 3153605 z^6 - 500985 z^7 + 17089 z^8) 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