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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=31/8





http://functions.wolfram.com/07.23.03.b71u.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 31/8, 9/2, -z] == (256 (Sqrt[z] (-257520 + 365893 z - 1335885 z^2 + 48325059 z^3 + 317360161 z^4 + 796343580 z^5 + 1045761024 z^6 + 768261120 z^7 + 300613632 z^8 + 49020928 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] - (-343360 + 437784 z - 1698559 z^2 + 19566155 z^3 + 180889827 z^4 + 508597025 z^5 + 711571872 z^6 + 545326848 z^7 + 220098560 z^8 + 36765696 z^9) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (8560473845 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