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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=7/8





http://functions.wolfram.com/07.23.03.b6ns.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 7/8, 11/2, -z] == (1024 (Sqrt[z] (248640 + 2594440 z + 12359961 z^2 + 36045585 z^3 + 122431738 z^4 + 113351082 z^5 + 84067965 z^6 + 44325741 z^7 + 15613920 z^8 + 3295488 z^9 + 315392 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] - (331520 + 3507600 z + 16973343 z^2 + 50353707 z^3 + 113050170 z^4 + 77342694 z^5 + 58776835 z^6 + 31664943 z^7 + 11362932 z^8 + 2437120 z^9 + 236544 z^10) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (43546758255 z^(9/2) (1 + z)^(3/8))








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