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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/07.23.03.5195.01









  


  










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) Cos[ArcSin[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) Sin[ArcSin[Sqrt[z]]/3]))/ (265909783164025 Sqrt[1 - z] z^(9/2)))










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