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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=47/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 47/8, -(1/2), -z] == (1/(14260 (1 + z)^(11/8))) ((-(-14260 + 759345 z + 29651952 z^2 + 206404352 z^3 + 531480576 z^4 + 573112320 z^5 + 219152384 z^6)) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (10695 + 12085436 z + 115484160 z^2 + 344914944 z^3 + 405864448 z^4 + 164364288 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