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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=31/8





http://functions.wolfram.com/07.23.03.bc1a.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 31/8, -(11/2), -z] == (1/(3108864 (1 + z)^(35/8))) ((-(-3108864 - 2596608 z + 1828960 z^2 - 1798899 z^3 + 2050818 z^4 - 2999683 z^5 + 10185504 z^6 + 71596800 z^7 + 82587648 z^8 + 28114944 z^9)) Cos[(3 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (582912 + 401856 z - 382053 z^2 + 397279 z^3 - 456090 z^4 + 648324 z^5 + 11454432 z^6 + 14716416 z^7 + 5271552 z^8) 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