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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=-17/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), -(17/8), 11/2, -z] == -((1024 (Sqrt[z] (-1344 - 23144 z - 211007 z^2 - 1543230 z^3 - 90829453 z^4 + 218412116 z^5 - 101617449 z^6 + 6344418 z^7 + 215445 z^8 + 7632 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + (1792 + 31120 z + 285783 z^2 + 2097666 z^3 + 23188581 z^4 - 176899008 z^5 + 181684945 z^6 - 35865302 z^7 - 160749 z^8 - 5724 z^9) Sin[(3 ArcTan[Sqrt[z]])/4]))/(75424123775 z^(9/2) (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