平移对数Lambert函数及其在三参数熵中的应用
Translated Logarithmic Lambert Function and its Applications to Three-Parameter Entropy
摘要：
定义了平移对数Lambert函数，得到了平移对数Lambert函数的基本解析性质，包括函数的导数、积分、Taylor级数展开、实分支和渐近逼近.此外，推导了三参数熵的概率分布，并将其表示为平移对数Lambert函数。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
