A generalized Hankel transformation
Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 1, pp. 1-15 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 33A40, 34A25, 44A15
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Betancor, Jorge J. A generalized Hankel transformation. Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 1, pp. 1-15. http://geodesic.mathdoc.fr/item/CMUC_1989_30_1_a0/

[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

[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

[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

[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

[5] Gray A., Mathews G. B.: A Treatise on Bessel Functions. London, 1895. | Zbl

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

[7] Hayek N.: Sobre la transformacion de Hankel. Actas de la VIII R.A.M.E., Madrid, 1968, pp. 47-60. | MR

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

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

[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.

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

[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

[13] Sneddon I. N.: The use of integral transforms. Tata McGraw Hill Publishing Co. Ltd., New Delhi, 1974.

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

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

[16] Watson G. N.: A Treatise on the Theory of Bessel Functions. Cambridge Univ. Press, Cambridge, 1958. | MR

[17] Weyl H.: Singulare Intergralgleichungen. Math. Ann. LXVI (1909), 273-324.

[18] Zemanian A. H.: Generalized Integral Transformations. Interscience Publishers, New York, 1968 | MR | Zbl