Arithmetized Trigonometrical Expansions of Doubly Periodic Functions of the Third Kind

[摘要] 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.

[发布机构] University:California Institute of Technology;Department:Physics, Mathematics and Astronomy

[关键词] Mathematics