@inbook{10.4169/j.ctt5hh8cf.7,
ISBN = {9780883851357},
URL = {http://www.jstor.org/stable/10.4169/j.ctt5hh8cf.7},
abstract = {The series of Fourier, Legendre, and Bessel, together with others, have a common field of application in connection with the solution of what are commonly called the “partial differential equations of mathematical physics.” One of the most important of these isLaplace’s equation, having for three independent variables the form(1)$\frac{{{\partial ^2}u}} {{\partial {x^2}}} + \frac{{{\partial ^2}u}} {{\partial {y^2}}} + \frac{{{\partial ^2}u}} {{\partial {z^2}}} = 0$No less important is the corresponding equation in two independent variables,(2)$\frac{{{\partial ^2}u}} {{\partial {x^2}}} + \frac{{{\partial ^2}u}} {{\partial {y^2}}} = 0$to which (1) reduces either if a plane problem is under consideration instead of one in space, or if the functions Relating to a space problem are so specialized as to be independent of the},
bookauthor = {DUNHAM JACKSON},
booktitle = {Fourier Series and Orthogonal Polynomials},
edition = {1},
pages = {91--114},
publisher = {Mathematical Association of America},
title = {BOUNDARY VALUE PROBLEMS},
volume = {6},
year = {1941}
}