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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=-45/8, b>=a > For fixed z and a=-45/8, b=-19/8





http://functions.wolfram.com/07.23.03.b6ca.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(19/8), -(5/2), -z] == (1/1088) (4 (272 + 1530 z + 3468 z^2 + 3553 z^3 + 5016 z^4 + 2299 z^5 + 418 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z/(1 + z)] (816 + 4709 z + 10999 z^2 + 23199 z^3 + 24453 z^4 + 10032 z^5 + 1672 z^6) 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