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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=-39/8, b>=a > For fixed z and a=-39/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 39/8, 9/2, z] == (1/(5435418483 z^(7/2))) (256 ((-Sqrt[z]) (-3120 - 14859 z - 86372 z^2 - 22449911 z^3 + 126752230 z^4 - 277602160 z^5 + 299094048 z^6 - 159388416 z^7 + 33707520 z^8) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) (2 (6240 + 25428 z + 151801 z^2 + 2314169 z^3 - 32257357 z^4 + 118405815 z^5 - 204666176 z^6 + 187287408 z^7 - 88121088 z^8 + 16853760 z^9) Sin[ArcSin[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