AN ASYMPTOTIC EXPANSION FORMULA OF KERNEL FUNCTION FOR QUASI FOURIER-LEGENDRE SERIES AND ITS APPLICATION |
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摘 要: | Is this paper we shall give cm asymptotic expansion formula of the kernel functim for the Quasi Faurier-Legendre series on an ellipse, whose error is 0(1/n2) and then applying it we shall sham an analogue of an exact result in trigonometric series.
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An asymptotic expansion formula of kernel function for Quasi Fourier-Legendre series and its application |
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Authors: | Zhang Peixuan |
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Institution: | 1. Department of Mathematics, Shandong University, 250100, Jinan, PRC
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Abstract: | Is this paper we shall give an asymptotic expansion formula of the kernel function for the Quasi Fourier-Legendre series on an ellipse, whose error is O(1/n2) and then applying it we shall show an analogue of an exact result in trigonometric series. |
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