Study of the convergence of series in certain orthogonal functions
Institution: | University of Missouri – Columbia |
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Department: | |
Year: | 1914 |
Record ID: | 1556449 |
Full text PDF: | http://hdl.handle.net/10355/16156 |
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.