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variants of this functions
Beta






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Beta[a,b] > Series representations > Asymptotic series expansions





http://functions.wolfram.com/06.18.06.0005.01









  


  










Input Form





Beta[a, b] \[Proportional] (Gamma[b] Sum[((((-1)^k Pochhammer[b, k])/k!) B[k, 1 - b, 0])/a^k, {k, 0, Infinity}])/a^b /; B[n, \[Alpha], z] == n! SeriesTerm[(t^\[Alpha] E^(t z))/(E^t - 1)^\[Alpha], {t, 0, n}] && Abs[Arg[a]] < Pi && (Abs[a] -> Infinity)










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





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