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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.bfcw.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 21/8, 9/2, z] == (1/(1054633437 z^(7/2))) (128 ((1 + Sqrt[z])^(23/4) (-228160 + 1311920 Sqrt[z] - 3838792 z + 8051909 z^(3/2) - 13435772 z^2 + 18366880 z^(5/2) - 19165440 z^3 + 13445376 z^(7/2) - 5440512 z^4 + 946176 z^(9/2)) + (1 - Sqrt[z])^(23/4) (228160 + 1311920 Sqrt[z] + 3838792 z + 8051909 z^(3/2) + 13435772 z^2 + 18366880 z^(5/2) + 19165440 z^3 + 13445376 z^(7/2) + 5440512 z^4 + 946176 z^(9/2))))








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