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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=19/8





http://functions.wolfram.com/07.23.03.b96a.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 19/8, -(5/2), -z] == (1/(320 (1 + z)^(7/8))) (2 (160 - 884 z + 4129 z^2 - 35336 z^3 - 90048 z^4 + 107520 z^5 + 172032 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] - 7 Sqrt[z] (-80 + 387 z - 1795 z^2 + 28896 z^3 + 112896 z^4 + 86016 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