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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.bgut.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 21/8, 11/2, -z] == (1/(331406075 z^(9/2))) (1024 (Sqrt[z] (38976 + 166808 z + 200361 z^2 - 46893 z^3 + 433955 z^4 + 1003977 z^5 + 914616 z^6 + 397392 z^7 + 68544 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((51968 + 266800 z + 455387 z^2 + 159152 z^3 + 88102 z^4 + 843776 z^5 + 1415895 z^6 + 1104744 z^7 + 431664 z^8 + 68544 z^9) 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