Arithmetized Trigonometrical Expansions of Doubly Periodic Functions of the Third Kind

Author: Elder, John Dyer

Year: 1929

Degree: Dissertation (Ph.D.)

Advisor: Bell, Eric Temple

Committee Member: Unknown, Unknown

Option: Mathematics

DOI: 10.7907/HY0G-JX06

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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