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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=-41/8, b>=a > For fixed z and a=-41/8, b=43/8





http://functions.wolfram.com/07.23.03.b9jd.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 43/8, -(3/2), -z] == (1/(19152 (1 + z)^(7/8))) ((19152 - 364287 z + 9480240 z^2 + 100905728 z^3 + 119848960 z^4 - 257359872 z^5 - 338690048 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (8379 - 153615 z + 9059776 z^2 + 88644864 z^3 + 214466560 z^4 + 148176896 z^5) Sin[(7 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