| Type of Document |
Dissertation |
| Author |
Elder, John Dyer
|
| URN |
etd-04132005-154104 |
| Persistent URL |
http://resolver.caltech.edu/CaltechETD:etd-04132005-154104 |
| Title |
Arithmetized trigonometrical expansions of doubly periodic functions of the third kind |
| Degree |
PhD |
| Option |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Eric Temple Bell |
Committee Chair |
|
| Keywords |
|
| Date of Defense |
1929-01-01 |
| Availability |
unrestricted |
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.
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| Filename |
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(Hours:Minutes:Seconds) |
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Elder_jd_1929.pdf |
9.83 Mb |
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