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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=1/8, b>=a > For fixed z and a=1/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 37/8, -(11/2), -z] == (1/(315392 (1 + z)^(81/8))) ((315392 + 3216640 z + 14834400 z^2 + 40854273 z^3 + 74878635 z^4 + 97249282 z^5 + 102525150 z^6 + 46570605 z^7 + 16143063 z^8 + 3424720 z^9 + 331520 z^10) Cos[ArcTan[Sqrt[z]]/4] + 2 Sqrt[z] (39424 + 389760 z + 1735734 z^2 + 4594665 z^3 + 8050900 z^4 + 9953294 z^5 - 5262510 z^6 - 1891551 z^7 - 415140 z^8 - 41440 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