Some triple integral equations
Glasgow mathematical journal, Tome 4 (1960) no. 4, pp. 200-203
Voir la notice de l'article provenant de la source Cambridge University Press
Potential problems in which different conditions hold over two different parts of the same boundary can often be conveniently reduced to the solution of a pair of dual integral equations. In some problems, however, the boundary condition is such that different conditions hold over three different parts of the boundary and, in such cases, the integral equations involved are frequently of the formwhere f(r), g(r) are specified functions of r, p = ± 1⁄2 and ø(u) is to be found. Such equations might well be called triple integral equations and, in this note, I point out certain special cases which I have found to be capable of solution in closed form.
Tranter, C. J. Some triple integral equations. Glasgow mathematical journal, Tome 4 (1960) no. 4, pp. 200-203. doi: 10.1017/S204061850003416X
@article{10_1017_S204061850003416X,
author = {Tranter, C. J.},
title = {Some triple integral equations},
journal = {Glasgow mathematical journal},
pages = {200--203},
year = {1960},
volume = {4},
number = {4},
doi = {10.1017/S204061850003416X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S204061850003416X/}
}
[1] 1.Watson, G. N., Theory of Bessel functions (Cambridge, 1944), (a) p. 401, (b) p. 405. Google Scholar
[2] 2.Tranter, C. J., Dual trigonometrical series, Proc. Glasgow Math. Assoc. 4 (1959), 49–57. Google Scholar | DOI
[3] 3.Magnus, W. and Oberhettinger, F. (translated by Wermer, J.), Special functions of mathematical physics (New York, 1949),(a) p. 8, (b) p. 53. Google Scholar
Cité par Sources :