Mathematics, Department of
Document Type
Article
Date of this Version
1931
Abstract
C. C. Camp has shown the convergence of the expansion of an arbitrary function in terms of the solutions of the systems of equations
X1’ (λa1 - Σi=2nμi)X1 = 0,
X1’ (λai + μi)Xi = 0, (j = 2, 3, …, n),
where the ai’s are functions of x, with the boundary conditions
Xi(-π) = Xi(π), (j = 1, 2, …, n).
In this paper it is intended to use a differential system in which the n parameters appear in each equation with a function ajk(xj) multiplying each. The boundary conditions will also be more general.
Comments
Published in Bull. Amer. Math. Soc. 37 (1931) 439-446.