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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=-43/8, b>=a > For fixed z and a=-43/8, b=9/8





http://functions.wolfram.com/07.23.03.b7sp.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 9/8, 1/2, -z] == (1/(9269 (1 + z)^(5/8))) ((-(-9269 + 15731 z + 341365 z^2 + 941645 z^3 + 1114720 z^4 + 622848 z^5 + 135168 z^6)) Cos[(5 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (56345 + 329320 z + 721541 z^2 + 770086 z^3 + 405120 z^4 + 84480 z^5) Sin[(5 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