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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=-37/8, b>=a > For fixed z and a=-37/8, b=31/8





http://functions.wolfram.com/07.23.03.bc1n.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 31/8, -(5/2), -z] == (1/(7360 (1 + z)^(11/8))) ((-(-7360 + 44712 z - 253621 z^2 + 2859360 z^3 + 40051968 z^4 + 83759104 z^5 + 46858240 z^6)) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (5520 - 34339 z + 195408 z^2 + 22799744 z^3 + 57694208 z^4 + 35143680 z^5) Sin[(3 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