Geodesic
Some triple trigonometrical series
Glasgow mathematical journal, Tome 10 (1969) no. 2, pp. 121-125

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

This paper considers the determination of the coefficients in two sets of triple trigonometrical series and shows that these can be obtained in closed form. The series considered are special cases of some triple series in Jacobi polynomials studied by K. N. Srivastava [1]. Srivastava, however, shows that the problem for the more general series can be reduced to the solution of a Fredholm integral equation of the second kind and he does not discuss special cases which may lead to closed form solutions. 
Tranter, C. J. Some triple trigonometrical series. Glasgow mathematical journal, Tome 10 (1969) no. 2, pp. 121-125. doi: 10.1017/S0017089500000665
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[1] 1.Srivastava, K. N., On triple integral series equations involving series of Jacobi polynomials, Proc. Edinburgh Math. Soc. 15 (1967), 221–231. Google Scholar | DOI

[2] 2.Williams, W. E., Note on the reduction of dual and triple series equations to dual and triple integral equations, Proc. Cambridge Philos. Soc. 59 (1963), 731–734. Google Scholar | DOI

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

[4] 4.Watson, G. N., Theory of Bessel functions (Cambridge, 1944). Google Scholar

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

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