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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=-37/8, b>=a > For fixed z and a=-37/8, b=39/8





http://functions.wolfram.com/07.23.03.bc7m.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 39/8, 7/2, -z] == (64 (4 Sqrt[z] (41847 - 474266 z + 36893908 z^2 + 322538391 z^3 + 960677184 z^4 + 1320893184 z^5 + 862617600 z^6 + 217251840 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - (223184 - 2496871 z + 51806586 z^2 + 701610393 z^3 + 2427046944 z^4 + 3620927232 z^5 + 2492805120 z^6 + 651755520 z^7) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (6940060365 z^(5/2) (1 + z)^(3/8))








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