Title
Lagrange Inversion and Lambert W.
Abstract
We show that Lagrange inversion can be used to obtain closed-form expressions for a number of series expansions of the Lambert $W$ function. Equivalently, we obtain expressions for the $n$th derivative. Various integer sequences related to the series expansions now can be expressed in closed form.
Year
DOI
Venue
2015
10.1109/SYNASC.2015.16
SYNASC
Keywords
Field
DocType
Lagrange inversion,Lambert W,series expansion
Mathematical analysis,Lambert W function,Formal power series,Lagrange inversion theorem,Series expansion,Lambert series,Power series,Mathematics,Taylor series,Integer sequence
Conference
ISSN
Citations 
PageRank 
2470-8801
0
0.34
References 
Authors
4
3
Name
Order
Citations
PageRank
David J. Jeffrey11172132.12
G. A. Kalugin210.71
N. Murdoch300.34