English

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

Combinatorics 2021-03-26 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2103.13508,
  title  = {Translated Logarithmic Lambert Function and its Applications to Three-Parameter Entropy},
  author = {Cristina B. Corcino and Roberto B. Corcino},
  journal= {arXiv preprint arXiv:2103.13508},
  year   = {2021}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2011.04283

R2 v1 2026-06-24T00:32:06.933Z