Proceedings of the Edinburgh Mathematical Society

Table of Contents - Volume 44 - 1925  

Research Article

Note on a formula connected with Fourier Series

H. M. Macdonald

An expression for the sum of a series of terms which takes account of the different rates of oscillation of the functions involved is of importance for series such as occur in the problems of diffraction, and a relation of this kind has been given by Poisson. This relation can be written in the form

S0013091500034283_eqnU1

where Sm denotes the sum of m terms of the series Σun, beginning with the term un.

(Received December 12 1925)

(Accepted May 02 1925)