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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 4 and fixed z > For fixed z and a=21/4, b>=a > For fixed z and a=21/4, b=6





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









  


  








Input Form





Hypergeometric2F1[21/4, 6, -(1/4), z] == (1/(512 (-1 + z)^12)) (4 (128 - 17664 z - 244161 z^2 - 422463 z^3 + 237870 z^4 + 381834 z^5 + 63763 z^6 + 693 z^7) - 231 Sqrt[1 - z] z^(5/4) (315 + 2975 z + 5950 z^2 + 3150 z^3 + 375 z^4 + 3 z^5) Beta[z, 3/4, 1/2])








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