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Applications of Lambert W Function

R. N. Rathie, P. H.D. Silva

Abstract


Lambert W-function is relatively a new special function with applications in various areas of mathematics, statistics and engineering. In this paper, some new applications of W-function are given in probability and statistics (generalized gamma distribution and special cases, inverse generalized gamma distribution and special cases, generalized extreme value distribution, order statistics, etc.), mathematics, information theory and hydraulics. Computation of W-function, with good precision, is already available in Mathematica and Maple softwares for numerical applications.

Keywords


Lambert W-function, probability and statistics, information theory, hydraulics.

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