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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=1/3, b>=a > For fixed z and a=1/3, b=14/3





http://functions.wolfram.com/07.23.03.7548.01









  


  








Input Form





Hypergeometric2F1[1/3, 14/3, -(7/2), z] == (1/(311040 (-1 + z)^8)) ((1/Sqrt[1 - z]) ((311040 - 2799360 z + 11447296 z^2 - 28965888 z^3 + 62505472 z^4 - 11480151 z^5 + 4513704 z^6 - 1113568 z^7 + 125120 z^8) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (103680 - 860160 z + 3218432 z^2 - 7452672 z^3 - 9601787 z^4 + 4003840 z^5 - 1051008 z^6 + 125120 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