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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=21/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 21/8, -(11/2), -z] == (1/(135168 (1 + z)^(9/2))) (Sqrt[1 + z] (135168 + 344832 z + 198240 z^2 - 34993 z^3 + 22670 z^4 - 23049 z^5 + 52104 z^6 + 150960 z^7 + 68544 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (101376 + 273408 z + 177156 z^2 - 21543 z^3 + 11390 z^4 - 11583 z^5 + 119016 z^6 + 185232 z^7 + 68544 z^8) 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