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variants of this functions
Beta




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Beta[z,a,b] > Series representations > Generalized power series > Expansions at z==1 > For the function itself > Logarithmic cases





http://functions.wolfram.com/06.19.06.0046.01









  


  








Input Form





Beta[z, a, -2] \[Proportional] (-(((a - 2) (a - 1))/2)) Log[1 - z] + (1/(2 (z - 1)^2)) (1 + 2 (a - 1) (z - 1) - (((5 - 3 a) a)/2) (z - 1)^2 + \[Ellipsis]) + (((a - 2) (a - 1))/2) (-EulerGamma - PolyGamma[a] + (1 - a) (z - 1) - (((a - 2) (a - 1))/4) (z - 1)^2 + \[Ellipsis]) /; (z -> 1)








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