The extension of a functional equation of the Lambert W function

被引：0
作者：
Mezo, Istvan [1 ,2 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, 219 Ningliu Rd, Nanjing, Jiangsu, Peoples R China
[2] Obuda Univ, John von Neumann Fac Informat, Budapest, Hungary
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2022年 / 33卷 / 09期
关键词：
Lambert W function; functional equation; unwinding number; branches;
D O I：
10.1080/10652469.2022.2039134
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The principal branch of the Lambert W function satisfies a well-known functional equation with respect to the sum of two of its values, but this equation is valid only on a restricted set. In this paper, we extend this equation to all the branches of W and to the arbitrary complex linear combination of two values. The results give an application for the unwinding number, too.
引用
收藏
页码：761 / 765
页数：5
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