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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=13/8





http://functions.wolfram.com/07.23.03.b6qp.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 13/8, 11/2, -z] == (1024 (4 Sqrt[z] Sqrt[1 + z] (-360528 - 2972210 z - 10052937 z^2 - 15547770 z^3 + 26943902 z^4 + 55572462 z^5 + 59508015 z^6 + 39860518 z^7 + 16764516 z^8 + 4072656 z^9 + 437920 z^10) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (-1922816 - 17494192 z - 67091471 z^2 - 128222427 z^3 - 25912950 z^4 + 196921722 z^5 + 324978293 z^6 + 310320577 z^7 + 191044256 z^8 + 74984416 z^9 + 17166464 z^10 + 1751680 z^11) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/ (77044264605 z^(9/2) Sqrt[1 + z])








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