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variants of this functions
Beta




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Beta[a,b] > Series representations > Generalized power series > Expansions at b==0





http://functions.wolfram.com/06.18.06.0004.01









  


  








Input Form





Beta[a, b] == 1/b - (a - 1) Sum[(-1)^j HypergeometricPFQ[{2 - a, Subscript[a, 1], Subscript[a, 2], \[Ellipsis], Subscript[a, j + 2]}, {1 + Subscript[a, 1], 1 + Subscript[a, 2], \[Ellipsis], 1 + Subscript[a, j + 2]}, 1] b^j, {j, 0, Infinity}] /; Subscript[a, 1] == Subscript[a, 2] == \[Ellipsis] == Subscript[a, j + 2] == 1 && Abs[b] < 1 && Re[a] > 0








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)





2001-10-29