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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=21/8





http://functions.wolfram.com/07.23.03.b6v9.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 21/8, 7/2, -z] == (1/(66281215 z^(5/2))) (64 (Sqrt[z] (38628 - 28971 z + 1248383 z^2 + 6462711 z^3 + 14014785 z^4 + 16557320 z^5 + 11199600 z^6 + 4096320 z^7 + 631040 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((51504 + 5365 z + 248936 z^2 + 3424306 z^3 + 11957656 z^4 + 21124865 z^5 + 21684520 z^6 + 13168880 z^7 + 4411840 z^8 + 631040 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