Citation
Elder, John Dyer (1929) Arithmetized Trigonometrical Expansions of Doubly Periodic Functions of the Third Kind. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/HY0G-JX06. https://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.)) |
---|---|
Subject Keywords: | Mathematics |
Degree Grantor: | California Institute of Technology |
Division: | Physics, Mathematics and Astronomy |
Major Option: | Mathematics |
Thesis Availability: | Public (worldwide access) |
Research Advisor(s): |
|
Thesis Committee: |
|
Defense Date: | 1 January 1929 |
Record Number: | CaltechETD:etd-04132005-154104 |
Persistent URL: | https://resolver.caltech.edu/CaltechETD:etd-04132005-154104 |
DOI: | 10.7907/HY0G-JX06 |
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: | 03 Oct 2019 23:07 |
Thesis Files
|
PDF
- Final Version
See Usage Policy. 8MB |
Repository Staff Only: item control page