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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 8 and fixed z and a>0 > For fixed z and a=9/8, b>=a > For fixed z and a=9/8, b=15/8





http://functions.wolfram.com/07.23.03.c26m.01









  


  








Input Form





Hypergeometric2F1[9/8, 15/8, -(11/2), z] == (1/(315392 (1 - z)^(17/2))) (Sqrt[1 - z] (315392 - 2653952 z + 9960160 z^2 - 22083787 z^3 + 32691516 z^4 - 36491570 z^5 + 49709436 z^6 + 3696485 z^7) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (78848 - 688128 z + 2686908 z^2 - 6217067 z^3 + 9614708 z^4 - 11104818 z^5 + 142507784 z^6 + 3696485 z^7) Sin[ArcSin[Sqrt[z]]/4])








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