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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=-45/8, b>=a > For fixed z and a=-45/8, b=-41/8





http://functions.wolfram.com/07.23.03.b664.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(41/8), 9/2, -z] == (256 (Sqrt[z] (240 + 7543 z + 155640 z^2 + 41563652 z^3 - 316262232 z^4 + 656332170 z^5 - 474981304 z^6 + 119351300 z^7 - 8454744 z^8 + 74359 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] - 8 (40 + 1263 z + 26122 z^2 + 820750 z^3 - 17458038 z^4 + 65411060 z^5 - 79319474 z^6 + 34208274 z^7 - 4771210 z^8 + 145021 z^9) Sin[(3 ArcTan[Sqrt[z]])/4]))/(9385369903 z^(7/2) (1 + z)^(3/8))








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