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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=-41/8, b>=a > For fixed z and a=-41/8, b=11/8





http://functions.wolfram.com/07.23.03.b92y.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 11/8, 5/2, -z] == -((16 (Sqrt[z] (268345 - 1164380 z - 1297002 z^2 + 866308 z^3 + 3647289 z^4 + 3747296 z^5 + 1740032 z^6 + 315392 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] - 4 (38335 + 38335 z + 979020 z^2 + 2414524 z^3 + 3087973 z^4 + 2222101 z^5 + 856128 z^6 + 137984 z^7) Sin[(7 ArcTan[Sqrt[z]])/4]))/(25875395 z^(3/2) (1 + z)^(7/8)))








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