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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/07.23.03.5196.01









  


  










Input Form





Hypergeometric2F1[-(14/3), -(4/3), 11/2, -z] == (6561 (Sqrt[z] (-1327104 - 20742144 z - 167018496 z^2 - 1030881280 z^3 + 31668280281 z^4 + 6125053509 z^5 - 25858647476 z^6 + 619381536 z^7 + 54427200 z^8 + 2902784 z^9) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (3981312 + 61046784 z + 483491840 z^2 + 2957115392 z^3 + 25764642816 z^4 - 109168358387 z^5 + 48894052756 z^6 + 593256480 z^7 + 52975808 z^8 + 2902784 z^9) Sinh[ArcSinh[Sqrt[z]]/3]))/ (265909783164025 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