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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=-29/8, b>=a > For fixed z and a=-29/8, b=39/8





http://functions.wolfram.com/07.23.03.bh5r.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 39/8, -(11/2), -z] == (1/(96374784 (1 + z)^(51/8))) ((96374784 + 277625088 z + 141345120 z^2 - 92110331 z^3 + 92453997 z^4 - 120603237 z^5 + 356747411 z^6 + 2443165920 z^7 + 3441284352 z^8 + 1983860736 z^9 + 421724160 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] - 2 Sqrt[z] (-36140544 - 98838912 z - 39798234 z^2 + 37610037 z^3 - 40270240 z^4 + 52283577 z^5 + 764159256 z^6 + 1190637888 z^7 + 720884736 z^8 + 158146560 z^9) 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