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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=-5/3, b>=a > For fixed z and a=-5/3, b=14/3





http://functions.wolfram.com/07.23.03.6800.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 14/3, -(7/2), z] == (1/(7776 (-1 + z)^6)) ((1/Sqrt[1 - z]) ((7776 - 33696 z + 41440 z^2 + 7392 z^3 + 26400 z^4 - 78993 z^5 + 79524 z^6 - 36816 z^7 + 6656 z^8) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (2592 - 9408 z + 7392 z^2 + 7040 z^3 - 50957 z^4 + 63612 z^5 - 33488 z^6 + 6656 z^7) 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