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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=-21/8, b>=a > For fixed z and a=-21/8, b=39/8





http://functions.wolfram.com/07.23.03.bm11.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 39/8, -(9/2), -z] == (1/(2190336 (1 + z)^(51/8))) (-2 (-1095168 - 3559296 z - 2288730 z^2 + 1639187 z^3 - 1873764 z^4 + 4494039 z^5 + 25096888 z^6 + 32086080 z^7 + 17335296 z^8 + 3514368 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (1642752 + 5099376 z + 2744337 z^2 - 2714391 z^3 + 3233455 z^4 + 31897959 z^5 + 44625312 z^6 + 25234176 z^7 + 5271552 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