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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=21/8





http://functions.wolfram.com/07.23.03.b5bq.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 21/8, -(9/2), -z] == (1/(15360 (1 + z)^(9/8))) ((-(-15360 + 35840 z - 76180 z^2 + 175397 z^3 - 516960 z^4 + 3336960 z^5 + 15003648 z^6 + 10813440 z^7)) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (3840 - 10160 z + 22535 z^2 - 51888 z^3 + 147840 z^4 + 2906112 z^5 + 2703360 z^6) 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