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Approximation of analytic functions by Legendre functions

Authors
Jung, Soon-Mo
Issue Date
Dec-2009
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Keywords
Legendre' s differential equation; Legendre function; Analytic function; Approximation
Citation
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.71, no.12, pp.E103 - E108
Journal Title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume
71
Number
12
Start Page
E103
End Page
E108
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/21745
DOI
10.1016/j.na.2008.10.007
ISSN
0362-546X
Abstract
We will solve the inhomogeneous Legendre's differential equation and apply this result to estimate the error bound occurring when ananalytic function is approximated by an appropriate Legendre function. (C) 2008 Elsevier Ltd. All rights reserved.
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