On triple trigonometrical equations
Glasgow mathematical journal, Tome 14 (1973) no. 2, pp. 174-178

Voir la notice de l'article provenant de la source Cambridge University Press

An exact solution of triple trigonometrical equations is obtained by using the finiteHilbert transform. The solution of these equations is used to solve a two-dimensional electrostatic problem. The problem of determining the electrostatic potential due to two parallel coplanar strips of equal length, charged to equal and opposite potentials, each parallel to and equidistant from an earthed strip, is considered. Both the charged strips lie along the x-axis and they are equally spaced with respect to the y-axis. Finally the expression for the surface charge density (per unit depth) of the strip is derived
Singh, B. M. On triple trigonometrical equations. Glasgow mathematical journal, Tome 14 (1973) no. 2, pp. 174-178. doi: 10.1017/S0017089500001920
@article{10_1017_S0017089500001920,
     author = {Singh, B. M.},
     title = {On triple trigonometrical equations},
     journal = {Glasgow mathematical journal},
     pages = {174--178},
     year = {1973},
     volume = {14},
     number = {2},
     doi = {10.1017/S0017089500001920},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001920/}
}
TY  - JOUR
AU  - Singh, B. M.
TI  - On triple trigonometrical equations
JO  - Glasgow mathematical journal
PY  - 1973
SP  - 174
EP  - 178
VL  - 14
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001920/
DO  - 10.1017/S0017089500001920
ID  - 10_1017_S0017089500001920
ER  - 
%0 Journal Article
%A Singh, B. M.
%T On triple trigonometrical equations
%J Glasgow mathematical journal
%D 1973
%P 174-178
%V 14
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001920/
%R 10.1017/S0017089500001920
%F 10_1017_S0017089500001920

[1] 1.Babloian, A. A., Solution of certain dual integral equations, Prikl. Mat. Mekh. 22 (1964), 1015–1023. Google Scholar

[2] 2.Tricomi, F. G., On the finite Hilbert transformation, Quart. J. Math. Oxford Ser. (2) 2 (1951), 199–211. Google Scholar | DOI

[3] 3.Tricomi, F. G., Integral equations (New York, 1957). Google Scholar

[4] 4.Tranter, C. J., Some triple integral equations, Proc. Glasgow Math. Assoc. 4 (1960), 200–203. Google Scholar | DOI

[5] 5.Sneddon, I. N., Mixed boundary value problems in potential theory (Amsterdam, 1966). Google Scholar

[6] 6.Gradsheyn, I. S. and Ryzhik, I. M., Tables of integrals, series and products (Academic Press, 1965). Google Scholar

[7] 7.Srivastava, K. N. and Lowengrub, M., Finite Hilberttransform technique for triple integral equations with trigonometric kernels, Proc. Roy. Soc. Edinburgh Sect. A 68 (1970), 309–321. Google Scholar

[8] 8.Srivastava, K. N., On some triple integral equations involving Legendre functions of imaginary argument, Journal of M.A.C.T. 1 (1968), 54–67. Google Scholar

Cité par Sources :