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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=-31/8, b>=a > For fixed z and a=-31/8, b=21/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 21/8, -(7/2), z] == (1/33280) ((1/(1 - Sqrt[z])^(9/4)) (16640 - 37440 Sqrt[z] + 71760 z - 110760 z^(3/2) + 168441 z^2 - 232596 z^(5/2) + 334880 z^3 - 449280 z^(7/2) + 748800 z^4 - 912384 z^(9/2) + 405504 z^5) + (1/(1 + Sqrt[z])^(9/4)) (16640 + 37440 Sqrt[z] + 71760 z + 110760 z^(3/2) + 168441 z^2 + 232596 z^(5/2) + 334880 z^3 + 449280 z^(7/2) + 748800 z^4 + 912384 z^(9/2) + 405504 z^5))








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