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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=-1/3





http://functions.wolfram.com/07.23.03.5220.01









  


  










Input Form





Hypergeometric2F1[-(14/3), -(1/3), 11/2, -z] == -((6561 (Sqrt[z] (1161216 + 15108096 z + 97052672 z^2 + 445806592 z^3 - 5623294149 z^4 - 5476828493 z^5 + 618474416 z^6 + 127087512 z^7 + 19230944 z^8 + 1451392 z^9) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-3483648 - 44292096 z - 278493184 z^2 - 1260464128 z^3 - 7107358720 z^4 + 14459833751 z^5 + 561688704 z^6 + 118016312 z^7 + 18505248 z^8 + 1451392 z^9) Sinh[ArcSinh[Sqrt[z]]/3]))/ (53181956632805 z^(9/2) 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