What is it about?
Herein, we present a sequel to earlier work on a generalization of the Lambert W function. In particular, we examine series expansions of the generalized version providing computational means for evaluating this function in various regimes and further confirming the notion that this generalization is a natural extension of the standard Lambert W function.
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Why is it important?
The Lambert W function is associated with the logarithmic function and arises from many models in the natural sciences, where we can mention a vast diversity of applications and problems in physics, biological, ecological and evolutionary models. The generalized case has applications in Relativity and Quantum Mechanics. Beyond the pioneering AAECC paper (DOI 10.13140/RG.2.1.1301.6808), this particular paper looks at series expansions, a key aspect for implementation on e.g. a computer algebra system.
Perspectives
This paper is part of an evolutionary process for developing the generalized Lambert W function and still continues with applications and further developments.
Dr Tony Cyril Scott
RWTH-Aachen University
Read the Original
This page is a summary of: Asymptotic series of generalized Lambert W function, ACM Communications in Computer Algebra, January 2014, ACM (Association for Computing Machinery),
DOI: 10.1145/2576802.2576804.
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