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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.bhas.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 45/8, 11/2, -z] == (1/(2452404955 z^(9/2))) (1024 (2 Sqrt[z] (672 - 1804 z + 5463 z^2 - 23058 z^3 + 1438251 z^4 + 6778512 z^5 + 11248560 z^6 + 8094720 z^7 + 2154240 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((1792 - 3280 z + 10399 z^2 - 48852 z^3 + 588987 z^4 + 7686414 z^5 + 23051184 z^6 + 30053280 z^7 + 18343680 z^8 + 4308480 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