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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=15/8





http://functions.wolfram.com/07.23.03.b6sb.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 15/8, 11/2, -z] == (1024 (2 Sqrt[z] (-515040 - 3884260 z - 11404917 z^2 - 12554100 z^3 + 39246194 z^4 + 100608456 z^5 + 122066235 z^6 + 89395368 z^7 + 40317120 z^8 + 10374144 z^9 + 1171456 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] - (-1373440 - 10558320 z - 31877757 z^2 - 37588263 z^3 + 43939350 z^4 + 130069914 z^5 + 166437895 z^6 + 126074493 z^7 + 58302432 z^8 + 15304960 z^9 + 1757184 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