Geodesic
Some dual integral equations involving inverse finite Mellin transforms
Glasgow mathematical journal, Tome 14 (1973) no. 2, pp. 179-184

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

The object of this paper is to find the solutions of some dual equations involving the inverses of certain Mellin type transforms that were first introduced by D. Naylor in his paper [1]. Because these transforms are relatively unknown we shall begin by defining them and making a note of some of their properties. The main result is contained in the following theorem. 
Tweed, John. Some dual integral equations involving inverse finite Mellin transforms. Glasgow mathematical journal, Tome 14 (1973) no. 2, pp. 179-184. doi: 10.1017/S0017089500001932
@article{10_1017_S0017089500001932,
     author = {Tweed, John},
     title = {Some dual integral equations involving inverse finite {Mellin} transforms},
     journal = {Glasgow mathematical journal},
     pages = {179--184},
     year = {1973},
     volume = {14},
     number = {2},
     doi = {10.1017/S0017089500001932},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001932/}
}
TY  - JOUR
AU  - Tweed, John
TI  - Some dual integral equations involving inverse finite Mellin transforms
JO  - Glasgow mathematical journal
PY  - 1973
SP  - 179
EP  - 184
VL  - 14
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001932/
DO  - 10.1017/S0017089500001932
ID  - 10_1017_S0017089500001932
ER  - 
%0 Journal Article
%A Tweed, John
%T Some dual integral equations involving inverse finite Mellin transforms
%J Glasgow mathematical journal
%D 1973
%P 179-184
%V 14
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001932/
%R 10.1017/S0017089500001932
%F 10_1017_S0017089500001932

[1] 1.Naylor, D., On a Mellin type of integral transform, J. Math. Mech. 12 (1963), 265–274. Google Scholar

[2] 2.Titchmarsh, E. C., Theory of Fourier Integrals (Oxford, 1937). Google Scholar

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

Cité par Sources :