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

页码：761 / 765

页数：5

共 50 条

[21] Verified computation for the matrix Lambert W function
Miyajima, Shinya
APPLIED MATHEMATICS AND COMPUTATION, 2019, 362
[22] The Lambert W Function: A Newcomer in the Cosmology Class?
Saha, Subhajit
Bamba, Kazuharu
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2020, 75 (01): : 23 - 27
[23] EXTENSION THEOREM FOR A FUNCTIONAL EQUATION
Burai, P.
JOURNAL OF APPLIED ANALYSIS, 2006, 12 (02) : 293 - 299
[24] Integrating the Lambert W function to a tolerance optimization problem
Shin, S
Govindaluri, MS
Cho, BR
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2005, 21 (08) : 795 - 808
[25] Winding Numbers, Unwinding Numbers, and the Lambert W Function
A. F. Beardon
Computational Methods and Function Theory, 2022, 22 : 115 - 122
[26] Lambert W Function Controller Design for Teleoperation Systems
Soheil Ganjefar
Mohammad Hadi Sarajchi
Seyed Mahmoud Hoseini
Zhufeng Shao
International Journal of Precision Engineering and Manufacturing, 2019, 20 : 101 - 110
[27] On the Lambert W function and its utility in biochemical kinetics
Golicnik, Marko
BIOCHEMICAL ENGINEERING JOURNAL, 2012, 63 : 116 - 123
[28] Series representations of all branches of the Lambert W function
Palapies, Lars
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2024,
[29] REALIZATION OF A LAMBERT W-FUNCTION FOR A CHAOTIC CIRCUIT
Srisuchinwong, Banlue
Amonchailertrat, Nithi
JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 2013, 22 (08)
[30] Lambert W Function Controller Design for Teleoperation Systems
Ganjefar, Soheil
Sarajchi, Mohammad Hadi
Hoseini, Seyed Mahmoud
Shao, Zhufeng
INTERNATIONAL JOURNAL OF PRECISION ENGINEERING AND MANUFACTURING, 2019, 20 (01) : 101 - 110

← 1 2 3 4 5 →