| Title:
|
A generalized Hankel transformation (English) |
| Author:
|
Betancor, Jorge J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
30 |
| Issue:
|
1 |
| Year:
|
1989 |
| Pages:
|
1-15 |
| . |
| Category:
|
math |
| . |
| MSC:
|
33A40 |
| MSC:
|
34A25 |
| MSC:
|
44A15 |
| idZBL:
|
Zbl 0672.44001 |
| idMR:
|
MR995696 |
| . |
| Date available:
|
2008-06-05T21:36:18Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106698 |
| . |
| Reference:
|
[1] Altenburg G.: Bessel Transformationen in Räumen von Grundfunktionen über dem intervall $\Omega = (0,\infty)$ und derem dual Räumen.Math. Nachr. 108 (1982), 197-218 MR 0695127 |
| Reference:
|
[2] Basset A. B.: On a method of finding the potentials of circular discs by means of Bessel's functions.Proc. Camb. Phil. Soc. V (1886), 425-443 |
| Reference:
|
[3] Betancor J. J.: La transformacion integral $F\alpha_0,\alpha_1,\alpha_2$.Doctoral Thesis, Department of Math. Anal., University of La Laguna, 1987 |
| Reference:
|
[4] Gerardi F. R.: Applications of Mellin and Hankel transforms to networks with time-varying parameters.IRE Transactions on Circuit Theory 6 (1959), 197-208 |
| Reference:
|
[5] Gray A., Mathews G. B.: A Treatise on Bessel Functions.London, 1895. Zbl 0135.28002 |
| Reference:
|
[6] Hankel H.: Dir Fourier'schen Reihen und Integrale für Cylinder functionen.Math. Ann. VIII (1875), 471-494 |
| Reference:
|
[7] Hayek N.: Sobre la transformacion de Hankel.Actas de la VIII R.A.M.E., Madrid, 1968, pp. 47-60. MR 0420164 |
| Reference:
|
[8] Koh E. L.: Application of an operational calculus to certain varying systems.Int. J. Systems Sci. 9 (1978), 595-601 MR 0487308 |
| Reference:
|
[9] Macaulay-Owen P.: Parseval's theorem for Hankel transforms.Proc. London Math. Soc. 45 (1939), 458-474 Zbl 0063.03688, MR 0000314 |
| Reference:
|
[10] Mendes J. M.: La transformacion integral de Hanker-Clifford.Secretariado de Publicaciones de La Universidad de La Laguna, Colleccion Monografias No. 8, La Laguna, Tanerife, 1981. |
| Reference:
|
[11] Schwartz A. L.: An inversion formula for Hankel transforms.Proc. Amer. Math. Soc. 22 (1969), 713-717. MR 0243294 |
| Reference:
|
[12] Sheppard W. F.: On some expansions of a function of a single variable in terms of Bessel functions.Quart. Journal XXIII (1889), 223-260 |
| Reference:
|
[13] Sneddon I. N.: The use of integral transforms.Tata McGraw Hill Publishing Co. Ltd., New Delhi, 1974. |
| Reference:
|
[14] Sonine N. J.: Recherches sur les fonctions cylindriques et le développement des fonctions continues en series.Math. Ann. XVI (1880), 1-80 MR 1510013 |
| Reference:
|
[15] Titchmarsch E. C.: Introduction to the theory of Fourier integrals.Oxford Univ. Press, Oxford, 1948 |
| Reference:
|
[16] Watson G. N.: A Treatise on the Theory of Bessel Functions.Cambridge Univ. Press, Cambridge, 1958. MR 1349110 |
| Reference:
|
[17] Weyl H.: Singulare Intergralgleichungen.Math. Ann. LXVI (1909), 273-324. |
| Reference:
|
[18] Zemanian A. H.: Generalized Integral Transformations.Interscience Publishers, New York, 1968 Zbl 0643.46029, MR 0423007 |
| . |
