Translated Logarithmic Lambert Function and its Applications to Three-Parameter Entropy

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i2.3949

Keywords:

Lambert function, entropy, logarithmic function, Tsallis entropy

Abstract

The translated logarithmic Lambert function is defined and basic analytic properties of the function are obtained including the derivative, integral, Taylor series expansion, real branches and asymptotic approximation of the function. Moreover, the probability distribution of the three-parameter entropy is derived which is expressed in terms of the translated logarithmic Lambert function.

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Published

2021-05-18

Issue

Vol. 14 No. 2: (April 2021)

Section

Nonlinear Analysis

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How to Cite

Translated Logarithmic Lambert Function and its Applications to Three-Parameter Entropy. (2021). European Journal of Pure and Applied Mathematics, 14(2), 506-520. https://doi.org/10.29020/nybg.ejpam.v14i2.3949