Geodesic
A further note on dual trigonometrical series
Glasgow mathematical journal, Tome 4 (1960) no. 4, pp. 198-200

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

This note discusses the determination of the coefficients an in the dual trigonometrical serieswhere p = ± 1 and F(x), G(x) are prescribed functions of X. It is shown that this problem and the corresponding one in which the sines in equations (1) are replaced by cosines are easily reduced to a form in which the results I have recently given in this journal [1] may be applied.As with my previous paper on this subject, the analysis is purely formal and no attempt is made to give precise conditions for which the solution is valid. 
Tranter, C. J. A further note on dual trigonometrical series. Glasgow mathematical journal, Tome 4 (1960) no. 4, pp. 198-200. doi: 10.1017/S2040618500034158
@article{10_1017_S2040618500034158,
     author = {Tranter, C. J.},
     title = {A further note on dual trigonometrical series},
     journal = {Glasgow mathematical journal},
     pages = {198--200},
     year = {1960},
     volume = {4},
     number = {4},
     doi = {10.1017/S2040618500034158},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034158/}
}
TY  - JOUR
AU  - Tranter, C. J.
TI  - A further note on dual trigonometrical series
JO  - Glasgow mathematical journal
PY  - 1960
SP  - 198
EP  - 200
VL  - 4
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034158/
DO  - 10.1017/S2040618500034158
ID  - 10_1017_S2040618500034158
ER  - 
%0 Journal Article
%A Tranter, C. J.
%T A further note on dual trigonometrical series
%J Glasgow mathematical journal
%D 1960
%P 198-200
%V 4
%N 4
%U http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034158/
%R 10.1017/S2040618500034158
%F 10_1017_S2040618500034158

[1] 1.Tranter, C. J., Dual trigonometrical series, Proc. Glasgow Math. Assoc. 4 (1959), 49–57. Google Scholar | DOI

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

Cité par Sources :