Tree T and Lambert W

The paper discusses the two cognate functions Tree T and Lambert W . The definition of the Lambert W function in the complex plane, specifically the branch structure, has been the subject of varying opinions from the time W was named. These opinions are reviewed. Until now, the cognate functions hav...

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Bibliographic Details
Published in2021 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC) pp. 19 - 24
Main Author Jeffrey, D. J.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2021
Subjects
Algebra
complex branches
Lambert W function
Reflection
Scientific computing
Tree function
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DOI10.1109/SYNASC54541.2021.00015

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Summary:The paper discusses the two cognate functions Tree T and Lambert W . The definition of the Lambert W function in the complex plane, specifically the branch structure, has been the subject of varying opinions from the time W was named. These opinions are reviewed. Until now, the cognate functions have been regarded as simple reflections of each other. Here I propose that the two functions be given independent branch structures, thus allowing users of computer algebra systems access to whichever structure is convenient for them.
DOI:10.1109/SYNASC54541.2021.00015