Approximation of analytic functions by Legendre functions |
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Affiliation: | 1. School of Mathematics and Computer, Wuhan Textile University, Wuhan, Hubei 430073, China;2. Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China |
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Abstract: | We will solve the inhomogeneous Legendre’s differential equation and apply this result to estimate the error bound occurring when an analytic function is approximated by an appropriate Legendre function. |
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