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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/07.23.03.6816.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 14/3, 9/2, z] == (1/(13476320 z^(7/2))) (243 ((Sqrt[z] (-135 - 278 z - 847 z^2 + 49308 z^3 - 94640 z^4 + 46592 z^5) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] + (405 + 954 z + 2877 z^2 + 19460 z^3 - 71344 z^4 + 46592 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