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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=-31/8, b>=a > For fixed z and a=-31/8, b=45/8





http://functions.wolfram.com/07.23.03.bfs7.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 45/8, -(1/2), -z] == (1/(1060124 (1 + z)^(17/8))) (-2 (-530062 + 21997573 z + 502163370 z^2 + 2468360832 z^3 + 4825846272 z^4 + 4140564480 z^5 + 1303511040 z^6) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (265031 + 103064121 z + 771153696 z^2 + 1883072256 z^3 + 1866608640 z^4 + 651755520 z^5) Sin[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