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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=-37/8, b>=a > For fixed z and a=-37/8, b=-25/8





http://functions.wolfram.com/07.23.03.bbb1.01









  


  








Input Form





Hypergeometric2F1[-(37/8), -(25/8), 11/2, -z] == (1024 (2 Sqrt[z] (672 + 13324 z + 143135 z^2 + 1273636 z^3 + 107939117 z^4 - 363458342 z^5 + 285373529 z^6 - 57409968 z^7 + 1639131 z^8 + 19398 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] - (1792 + 35792 z + 386815 z^2 + 3450867 z^3 + 48692007 z^4 - 489849789 z^5 + 759045157 z^6 - 307496623 z^7 + 27358645 z^8 + 29097 z^9) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (184034862011 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