Open AccessTranslated Logarithmic Lambert Function and its Applications to Three-Parameter Entropy
Author(s) -
Cristina B. Corcino,
Roberto B. Corcino
Publication year - 2021
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v14i2.3949
Subject(s) - mathematics , lambert w function , logarithm , taylor series , logarithmic derivative , logarithmic distribution , mathematical analysis , maximum entropy probability distribution , function (biology) , principle of maximum entropy , statistics , biology , negative binomial distribution , evolutionary biology , poisson distribution
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.