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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=-41/8, b>=a > For fixed z and a=-41/8, b=43/8





http://functions.wolfram.com/07.23.03.b9iw.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 43/8, -(11/2), -z] == (1/(53932032 (1 + z)^(39/8))) ((53932032 - 89784576 z + 68985504 z^2 - 2732637 z^3 - 149448642 z^4 + 579659619 z^5 - 3433321584 z^6 - 5109581568 z^7 + 5896683520 z^8 + 11456413696 z^9 + 4402970624 z^10) Cos[(7 ArcTan[Sqrt[z]])/4] - 4 Sqrt[z] (-23595264 + 23059008 z - 13314231 z^2 - 9184182 z^3 + 59961720 z^4 - 212247651 z^5 + 2223199680 z^6 + 6853380352 z^7 + 6336512000 z^8 + 1926299648 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