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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=11/8, b>=a > For fixed z and a=11/8, b=31/8





http://functions.wolfram.com/07.23.03.c3jl.01









  


  








Input Form





Hypergeometric2F1[11/8, 31/8, -(11/2), -z] == (1/(86016 (1 + z)^(83/8))) ((86016 + 951552 z + 4897760 z^2 + 15777281 z^3 + 36861843 z^4 + 73709442 z^5 + 218411214 z^6 - 82109235 z^7 - 5246657 z^8 - 303056 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (32256 + 352128 z + 1786386 z^2 + 5667227 z^3 + 13051190 z^4 + 25902162 z^5 - 104603134 z^6 + 1950923 z^7 + 113646 z^8) Sin[(3 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