Analytical approximations to the Lambert W function

Authors：Wu, Baisheng; Zhou, Yixin; Lim, C. W.^*; Zhong, Huixiang

Source：APPLIED MATHEMATICAL MODELLING, 2022, 104: 114-121.

DOI：10.1016/j.apm.2021.11.024

• Lambert W function
• Pad? approximation
• Root
• Schr?der?s iteration
• Transcendental equation

The Lambert W function is defined as the multivalued inverse of the function w -> we(w). It has a wide range of applications. We propose a new method to construct a high-precision analytical approximation of the two branches of W . The method is based on Pade approx-imation and Schroder's iteration. This method can also be extended to solve other tran-scendental equations in science and engineering.

• Institution
  广东工业大学