Title :
Lagrange Inversion and Lambert W
Author :
D.J. Jeffrey;G.A. Kalugin;N. Murdoch
Author_Institution :
Dept. of Appl. Math., Univ. of Western Ontario, London, ON, Canada
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 nth derivative. Various integer sequences related to the series expansions now can be expressed in closed form.
Keywords :
"Encyclopedias","Taylor series","Scientific computing","Closed-form solutions","Indexes"
Conference_Titel :
Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2015 17th International Symposium on
DOI :
10.1109/SYNASC.2015.16
