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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=4/3, b>=a > For fixed z and a=4/3, b=17/3





http://functions.wolfram.com/07.23.03.8036.01









  


  








Input Form





Hypergeometric2F1[4/3, 17/3, -(5/2), z] == (1/(829440 (-1 + z)^9)) ((1/Sqrt[1 - z]) ((-829440 + 10432512 z - 70862848 z^2 + 533585920 z^3 + 1341094099 z^4 - 64984200 z^5 + 15880856 z^6 - 2840224 z^7 + 250240 z^8) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-276480 + 3282944 z - 21331968 z^2 - 522975865 z^3 - 58030656 z^4 + 14554584 z^5 - 2715104 z^6 + 250240 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