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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=-29/8, b>=a > For fixed z and a=-29/8, b=-25/8





http://functions.wolfram.com/07.23.03.bg92.01









  


  








Input Form





Hypergeometric2F1[-(29/8), -(25/8), 9/2, -z] == (256 (Sqrt[z] (240 + 4519 z + 51810 z^2 + 4955049 z^3 - 16212724 z^4 + 11272425 z^5 - 1752894 z^6 + 29415 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - 4 (80 + 1518 z + 17487 z^2 + 275715 z^3 - 2799522 z^4 + 4035900 z^5 - 1364413 z^6 + 84243 z^7) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (1058639967 z^(7/2) (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