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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=11/8





http://functions.wolfram.com/07.23.03.bj1k.01









  


  








Input Form





Hypergeometric2F1[-(25/8), 11/8, 9/2, -z] == -((1/(6653673 z^(7/2) (1 + z)^(7/8))) (256 (Sqrt[z] (2800 + 15855 z + 33740 z^2 - 12198 z^3 + 12844 z^4 + 18415 z^5 + 9424 z^6 + 1792 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] - 8 (200 + 995 z + 1640 z^2 - 625 z^3 + 6573 z^4 + 5614 z^5 + 2331 z^6 + 392 z^7) 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