A sequence of series for the Lambert W function
ISSAC '97 Proceedings of the 1997 international symposium on Symbolic and algebraic computation
Numerical analysis: an introduction
Numerical analysis: an introduction
IEEE Transactions on Signal Processing
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The real-valued Lambert W-functions considered here are w 0(y) and w 驴驴驴1(y), solutions of we w 驴=驴y, 驴驴1/e驴y驴 $\int_1^\infty [-w_0(-xe^{-x})]^\alpha x^{-\beta}\d x$ , 驴驴驴0, β驴驴驴驴, and $\int_0^1 [-w_{-1}(-x e^{-x})]^\alpha x^{-\beta}\d x$ , 驴驴驴驴驴1, β驴驴驴驴驴β, and explicit formulae involving the trigamma function, if 驴驴=驴β.