Study of the convergence of series in certain orthogonal functions

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Study of the convergence of series in certain orthogonal functions

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/16156

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Title: Study of the convergence of series in certain orthogonal functions
Author: Wester, Reuben Axel
Date: 1914
Publisher: University of Missouri
Abstract: In this present paper we will develop some theorems concerning the degree of convergence of certain series, in particular a Fourier's series, a Legendre's series, and a series of Bessel's functions. Before proceeding directly to the proof of these theorems, however, we will give some theorems showing the conditions under which the Fourier coefficients in the development of a function will converge to zero.
URI: http://hdl.handle.net/10355/16156

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