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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=-14/3, b>=a > For fixed z and a=-14/3, b=-7/3





http://functions.wolfram.com/07.23.03.5163.01









  


  








Input Form





Hypergeometric2F1[-(14/3), -(7/3), 3/2, z] == (1/3254225) (3 ((1/Sqrt[1 - z]) ((1008283 + 5060149 z - 1702400 z^2 - 4289872 z^3 - 80512 z^4 + 4352 z^5) Cos[ArcSin[Sqrt[z]]/3]) + (1/Sqrt[z]) ((229376 + 7064457 z + 19401112 z^2 + 7922704 z^3 - 78336 z^4 + 4352 z^5) 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