Study of the convergence of series in certain orthogonal functions
type: CreativeWork
description: 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.
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.
author: Wester, Reuben Axel
language: eng
language: English
date published: 1914
date modified: 2026-07-24T03:07:57Z
provider: University of Missouri
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: University of Missouri--Columbia

PropertyValue
property ID: Handle
value: https://hdl.handle.net/10355/16156

PropertyValue
property ID: DOI
value: 10.32469/10355/16156