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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 3 and fixed z > For fixed z and a=7/3, b>=a > For fixed z and a=7/3, b=8/3





http://functions.wolfram.com/07.23.03.8260.01









  


  










Input Form





Hypergeometric2F1[7/3, 8/3, -(9/2), z] == (1/(839808 (-1 + z)^9)) ((1/Sqrt[1 - z]) (9 (-93312 + 1020672 z - 5273216 z^2 + 17648128 z^3 - 47134976 z^4 + 168303104 z^5 + 264556529 z^6 + 31617428 z^7) Cos[ArcSin[Sqrt[z]]/3]) - Sqrt[z] (279936 - 2865024 z + 13825024 z^2 - 43425280 z^3 + 111807744 z^4 + 1009576043 z^5 + 202734628 z^6) Sin[ArcSin[Sqrt[z]]/3])










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