Article ID Journal Published Year Pages File Type
5774501 Journal of Mathematical Analysis and Applications 2017 16 Pages PDF
Abstract
The transcendental equation xex=z and its solutions, described by the Lambert W function, often occur in physics and mathematics. In the last decades it turned out that the study of similar but more general equations is necessary in molecular physics, in the theory of general relativity and also in the description of Bose-Fermi mixtures as well as in some combinatorial problems. In this paper we offer a full description for the solution set of a one parameter generalization of the above mentioned equation.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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