Title
Series transformations to improve and extend convergence
Abstract
We consider a new invariant transformation of some previously known series for the Lambert W function. The transformations contain a parameter p which can be varied, while retaining the basic series structure. The parameter can be used to expand the domain of convergence of the series. The speed of convergence, that is the accuracy for a given number of terms, can increase or decrease with p. Theoretical and experimental investigations that rely heavily on the computer-algebra system MAPLE are described.
Year
DOI
Venue
2010
10.1007/978-3-642-15274-0_12
CASC
Keywords
Field
DocType
experimental investigation,computer-algebra system maple,lambert w function,basic series structure,new invariant transformation,parameter p,series transformation
Series acceleration,Normal convergence,Mathematical analysis,Compact convergence,Lambert W function,Convergence tests,Function series,Invariant (mathematics),Mathematics,Modes of convergence
Conference
Volume
ISSN
ISBN
6244
0302-9743
3-642-15273-2
Citations 
PageRank 
References 
1
0.37
4
Authors
2
Name
Order
Citations
PageRank
G. A. Kalugin110.71
D. J. Jeffrey2338.39