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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=31/8





http://functions.wolfram.com/07.23.03.b70q.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 31/8, -(9/2), -z] == (1/(164864 (1 + z)^(19/8))) (-2 (-82432 + 226688 z - 546158 z^2 + 1419629 z^3 - 4812474 z^4 + 37403520 z^5 + 419454464 z^6 + 693501952 z^7 + 318636032 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (123648 - 358064 z + 875587 z^2 - 2271043 z^3 + 7585952 z^4 + 503616256 z^5 + 970551296 z^6 + 477954048 z^7) Sin[(3 ArcTan[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