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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=-31/8, b>=a > For fixed z and a=-31/8, b=29/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 29/8, -(3/2), -z] == (1/(624 (1 + z)^(9/8))) ((624 - 5161 z + 71344 z^2 + 660096 z^3 + 1222656 z^4 + 638976 z^5) Cos[ArcTan[Sqrt[z]]/4] - Sqrt[z] (-156 + 1339 z + 98208 z^2 + 255744 z^3 + 159744 z^4) 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