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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=-19/8





http://functions.wolfram.com/07.23.03.bg9z.01









  


  








Input Form





Hypergeometric2F1[-(29/8), -(19/8), -(11/2), -z] == (1/(135168 Sqrt[1 + z])) ((-Sqrt[1 + z]) (-135168 - 249600 z - 133472 z^2 - 17347 z^3 + 418 z^4) Cosh[(3 ArcSinh[Sqrt[z]])/4] + 2 Sqrt[z] (-50688 - 100992 z - 59082 z^2 - 8569 z^3 + 209 z^4) Sinh[(3 ArcSinh[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