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Arithmetized trigonometrical expansions of doubly periodic functions of the third kind

Citation

Elder, John Dyer (1929) Arithmetized trigonometrical expansions of doubly periodic functions of the third kind. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-04132005-154104

Abstract

We present a method of expanding the members of a certain class of functions, doubly periodic of the third kind, due to Appell. An extension of the details is given, and the method is used to obtain the expansions of those numbers of the class considered whose complexity, in a technical sense, is within an arbitrary chosen range. The details in the expansion of any member of the class are discussed and some information is obtained as to the general form of the result.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Bell, Eric Temple
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1929
Record Number:CaltechETD:etd-04132005-154104
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-04132005-154104
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1373
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:15 Apr 2005
Last Modified:26 Dec 2012 02:37

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