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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=-25/8, b>=a > For fixed z and a=-25/8, b=43/8





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









  


  








Input Form





Hypergeometric2F1[-(25/8), 43/8, -(11/2), -z] == (1/(2838528 (1 + z)^(55/8))) ((2838528 + 6499584 z - 1825824 z^2 - 7522119 z^3 + 7641249 z^4 - 1847769 z^5 - 29270241 z^6 - 3004064 z^7 + 42834176 z^8 + 36900864 z^9 + 9371648 z^10) Cos[(7 ArcTan[Sqrt[z]])/4] - 2 Sqrt[z] (-2483712 - 7394688 z - 3379530 z^2 + 4551393 z^3 - 3476088 z^4 - 978747 z^5 + 39274712 z^6 + 63201600 z^7 + 37925888 z^8 + 8200192 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