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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=17/3





http://functions.wolfram.com/07.23.03.8381.01









  


  








Input Form





Hypergeometric2F1[7/3, 17/3, -(5/2), z] == (1/(6635520 (-1 + z)^10)) ((1/Sqrt[1 - z]) ((6635520 - 105136128 z + 965099520 z^2 - 11226693632 z^3 - 58954530791 z^4 - 31522898084 z^5 + 463356896 z^6 - 47170240 z^7 + 2902784 z^8) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (2211840 - 33488896 z + 298303488 z^2 + 16361177013 z^3 + 16446563684 z^4 + 440860320 z^5 - 45718848 z^6 + 2902784 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