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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=-4/3





http://functions.wolfram.com/07.23.03.5194.01









  


  










Input Form





Hypergeometric2F1[-(14/3), -(4/3), 9/2, -z] == (243 (Sqrt[z] (-2211840 - 35700736 z - 331792384 z^2 + 16062873525 z^3 - 85386671 z^4 - 16005703364 z^5 + 486579168 z^6 + 48621632 z^7 + 2902784 z^8) Cosh[ArcSinh[Sqrt[z]]/3] + 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) Sinh[ArcSinh[Sqrt[z]]/3]))/(4834723330255 z^(7/2) Sqrt[1 + z])










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