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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=45/8





http://functions.wolfram.com/07.23.03.bha6.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 45/8, -(3/2), z] == -((1/(592 (1 - z)^(7/2))) (Sqrt[1 - z] (-592 - 6105 z - 115773 z^2 + 2004198 z^3 - 7661968 z^4 + 12199200 z^5 - 8812800 z^6 + 2393600 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] + 2 Sqrt[z] (-222 - 2257 z - 321888 z^2 + 2383791 z^3 - 6404784 z^4 + 8153200 z^5 - 5004800 z^6 + 1196800 z^7) Sin[(3 ArcSin[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