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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=-29/8, b>=a > For fixed z and a=-29/8, b=15/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 15/8, 11/2, -z] == (1/(66281215 z^(9/2) (1 + z)^(3/8))) (1024 (4 Sqrt[z] (-1392 - 8410 z - 19227 z^2 - 15834 z^3 + 32812 z^4 + 56940 z^5 + 41655 z^6 + 15296 z^7 + 2304 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] + (7424 + 45936 z + 108837 z^2 + 98020 z^3 - 79170 z^4 - 154908 z^5 - 118651 z^6 - 44880 z^7 - 6912 z^8) 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