Analysis on Lambert-Tsallis functions
Hideto Nakashima, Piotr Graczyk
TL;DR
This paper investigates the Lambert-Tsallis function, a generalized Lambert function with two parameters, establishing conditions for its domain mapping properties related to complex analysis.
Contribution
It provides new conditions on parameters ensuring the Lambert-Tsallis function maps a specific complex domain bijectively to the upper half-plane.
Findings
Identifies parameter conditions for bijective mapping
Establishes domain boundary touching zero
Extends understanding of generalized Lambert functions
Abstract
In this paper, we study the Lambert-Tsallis function, which is a generalization of the Lambert function with two real parameters. We give a condition on the parameters such that there exists a complex domain touching zero on boundary which is mapped bijectively to the upper half plane by the Lambert-Tsallis function.
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Taxonomy
TopicsSports Dynamics and Biomechanics · Statistical Mechanics and Entropy · Geometric Analysis and Curvature Flows