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Abstract The transcendental equation x e x = z and its solutions, described by the Lambert W function, often occur in physics and mathematics. In the last decades it turned… Click to show full abstract
Abstract The transcendental equation x e x = 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.
Keywords:
solution set;
structure solution;
physics;
set generalized;
equation
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
Link to full text (if available)
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recommendations!