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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=-33/8, b>=a > For fixed z and a=-33/8, b=19/8





http://functions.wolfram.com/07.23.03.be7v.01









  


  








Input Form





Hypergeometric2F1[-(33/8), 19/8, 9/2, -z] == -((256 (Sqrt[z] (-47600 - 164815 z - 49980 z^2 - 381306 z^3 - 157676 z^4 + 553617 z^5 + 810208 z^6 + 435456 z^7 + 86016 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] - 4 (-6800 - 18870 z + 8755 z^2 + 24990 z^3 + 308952 z^4 + 578144 z^5 + 501613 z^6 + 216384 z^7 + 37632 z^8) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (135291351 z^(7/2) (1 + z)^(7/8)))








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