A Development of Orthogonal Functions as Series Solutions of the Partial Differential Equations of Physics

Introduction. Statement of problem: The primary purpose of this study is to indicate the manner in which a Boundary Value problem in Physics leads to the solution in generalized Fourier Series. The conditions to be met in problems of this sort are generally the Partial Differential Equation and several unique physical conditions which are imposed on the distribution sought after. The problem is solved when a mathematical solution of the Differential Equation is found which satisfies all of the restrictions levied by the physical considerations. The secondary purpose of this study is to obtain a view of the generalized problem which leads ultimately to the Sturm-Liouville theory.

Grantor dc:publisher

Temple University. Libraries

Year dc:date.issued

1949

Author dc:creator

• Kaigh, Irvin

• Physics
• Functions, Orthogonal
• Differential Equations, Partial

Statement dc:rights

• IN COPYRIGHT- This Rights Statement can be used for an Item that is in copyright. Using this statement implies that the organization making this Item available has determined that the Item is in copyright and either is the rights-holder, has obtained permission from the rights-holder(s) to make their Work(s) available, or makes the Item available under an exception or limitation to copyright (including Fair Use) that entitles it to make the Item available.

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

eng

Dc Identifier Other

870266799

OAI record oai:identifier

https://scholarshare.temple.edu/server/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Ascholarshare.temple.edu%3A20.500.12613%2F4109