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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=17/8, b>=a > For fixed z and a=17/8, b=37/8





http://functions.wolfram.com/07.23.03.c6jt.01









  


  








Input Form





Hypergeometric2F1[17/8, 37/8, -(11/2), -z] == (1/(315392 (1 + z)^(97/8))) ((315392 + 4377856 z + 29075424 z^2 + 125188953 z^3 + 408844254 z^4 + 1206525463 z^5 + 5498134356 z^6 - 8854077801 z^7 + 1114628478 z^8 + 46532569 z^9 + 1913936 z^10) Cos[ArcTan[Sqrt[z]]/4] + 4 Sqrt[z] (19712 + 267456 z + 1735251 z^2 + 7303146 z^3 + 23402054 z^4 + 68626987 z^5 - 2455344609 z^6 + 1121954736 z^7 - 2870904 z^8 - 119621 z^9) 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