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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=-3/8, b>=a > For fixed z and a=-3/8, b=41/8





http://functions.wolfram.com/07.23.03.bw2k.01









  


  








Input Form





Hypergeometric2F1[-(3/8), 41/8, -(3/2), z] == (1/29920) ((1/(1 - Sqrt[z])^(25/4)) (14960 - 93500 Sqrt[z] + 264605 z - 467500 z^(3/2) + 523600 z^2 - 356608 z^(5/2) + 134400 z^3 - 21504 z^(7/2)) + (1/(1 + Sqrt[z])^(25/4)) (14960 + 93500 Sqrt[z] + 264605 z + 467500 z^(3/2) + 523600 z^2 + 356608 z^(5/2) + 134400 z^3 + 21504 z^(7/2)))








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