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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=7/8, b>=a > For fixed z and a=7/8, b=43/8





http://functions.wolfram.com/07.23.03.c1e8.01









  


  








Input Form





Hypergeometric2F1[7/8, 43/8, -(11/2), -z] == (1/(135168 (1 + z)^(87/8))) ((135168 + 1378560 z + 6431328 z^2 + 18440101 z^3 + 38120999 z^4 + 72307466 z^5 + 288752310 z^6 + 46844673 z^7 + 11503747 z^8 + 2093584 z^9 + 187136 z^10) Cos[(7 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (118272 + 1287552 z + 6507522 z^2 + 20554865 z^3 + 47220116 z^4 + 94909870 z^5 - 48741618 z^6 - 11395559 z^7 - 1944460 z^8 - 163744 z^9) Sin[(7 ArcTan[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