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Elder, John Dyer (1929-01-01) Arithmetized trigonometrical expansions of doubly periodic functions of the third kind. http://resolver.caltech.edu/CaltechETD:etd-04132005-154104


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
  • none
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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