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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=-47/8, b>=a > For fixed z and a=-47/8, b=15/8





http://functions.wolfram.com/07.23.03.b59c.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 15/8, 7/2, -z] == (64 (4 Sqrt[z] Sqrt[1 + z] (-1306929 - 4356430 z + 161859082 z^2 + 543886556 z^3 + 887883931 z^4 + 846960730 z^5 + 482259140 z^6 + 152670320 z^7 + 20766240 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - (-20910864 - 84079099 z + 165544340 z^2 + 1442649502 z^3 + 3626815076 z^4 + 5039250469 z^5 + 4281217600 z^6 + 2223994080 z^7 + 652213760 z^8 + 83064960 z^9) Sinh[ArcSinh[Sqrt[z]]/4]))/ (38047929381 z^(5/2) 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