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University of Missouri--Columbia

Study of the convergence of series in certain orthogonal functions

Abstract

dc:description.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.

Degree

thesis:*
Name thesis:degree_name
M.A.
Level thesis:degree_level
Masters
Discipline thesis:degree_discipline
Mathematics (MU)
Grantor dc:publisher
University of Missouri--Columbia
Year dc:date.issued
1914

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Wester, Reuben Axel
Advisor dc:contributor.advisor
  • Kellogg, O. D. (Oliver Dimon), 1878-

Rights

dc:rights
Statement dc:rights
  • OpenAccess.
Language dc:language.iso
eng, English

Identifiers

dc:identifier.*
OAI identifier oai:identifier
oai:mospace.umsystem.edu:10355/16156

Chain of custody

source
Harvested from
University of Missouri
Base URL
mospace.umsystem.edu/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
related terms
citation

Wester, Reuben Axel. Study of the convergence of series in certain orthogonal functions. Masters thesis, University of Missouri--Columbia, 1914. https://hdl.handle.net/10355/16156