A generalized Hankel transformation
Betancor, Jorge J.
Commentationes Mathematicae Universitatis Carolinae, Tome 030 (1989), p. 1-15 / Harvested from Czech Digital Mathematics Library
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Publié le : 1989-01-01
Classification:  33A40,  34A25,  44A15 
@article{106698,
     author = {Jorge J. Betancor},
     title = {A generalized Hankel transformation},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {030},
     year = {1989},
     pages = {1-15},
     zbl = {0672.44001},
     mrnumber = {995696},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106698}
}

Betancor, Jorge J. A generalized Hankel transformation. Commentationes Mathematicae Universitatis Carolinae, Tome 030 (1989) pp. 1-15. http://gdmltest.u-ga.fr/item/106698/

Altenburg G. Bessel Transformationen in Räumen von Grundfunktionen über dem intervall $\Omega = (0,\infty)$ und derem dual Räumen, Math. Nachr. 108 (1982), 197-218 (1982) | MR 0695127

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

Betancor J. J. La transformacion integral $F\alpha_0,\alpha_1,\alpha_2$, Doctoral Thesis, Department of Math. Anal., University of La Laguna, 1987

Gerardi F. R. Applications of Mellin and Hankel transforms to networks with time-varying parameters, IRE Transactions on Circuit Theory 6 (1959), 197-208 (1959)

Gray A.; Mathews G. B. A Treatise on Bessel Functions, London, 1895. | Zbl 0135.28002

Hankel H. Dir Fourier'schen Reihen und Integrale für Cylinder functionen, Math. Ann. VIII (1875), 471-494

Hayek N. Sobre la transformacion de Hankel, Actas de la VIII R.A.M.E., Madrid, 1968, pp. 47-60. (1968) | MR 0420164

Koh E. L. Application of an operational calculus to certain varying systems, Int. J. Systems Sci. 9 (1978), 595-601 (1978) | MR 0487308

Macaulay-Owen P. Parseval's theorem for Hankel transforms, Proc. London Math. Soc. 45 (1939), 458-474 (1939) | MR 0000314 | Zbl 0063.03688

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. (1981)

Schwartz A. L. An inversion formula for Hankel transforms, Proc. Amer. Math. Soc. 22 (1969), 713-717. (1969) | MR 0243294

Sheppard W. F. On some expansions of a function of a single variable in terms of Bessel functions, Quart. Journal XXIII (1889), 223-260

Sneddon I. N. The use of integral transforms, Tata McGraw Hill Publishing Co. Ltd., New Delhi, 1974. (1974)

Sonine N. J. Recherches sur les fonctions cylindriques et le développement des fonctions continues en series, Math. Ann. XVI (1880), 1-80 | MR 1510013

Titchmarsch E. C. Introduction to the theory of Fourier integrals, Oxford Univ. Press, Oxford, 1948

Watson G. N. A Treatise on the Theory of Bessel Functions, Cambridge Univ. Press, Cambridge, 1958. (1958) | MR 1349110

Weyl H. Singulare Intergralgleichungen, Math. Ann. LXVI (1909), 273-324. (1909)

Zemanian A. H. Generalized Integral Transformations, Interscience Publishers, New York, 1968 | MR 0423007 | Zbl 0643.46029