A generalized Hankel transformation

Jorge J. Betancor

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 1, page 1-15
  • ISSN: 0010-2628

How to cite

top

Betancor, Jorge J.. "A generalized Hankel transformation." Commentationes Mathematicae Universitatis Carolinae 030.1 (1989): 1-15. <http://eudml.org/doc/17692>.

@article{Betancor1989,
author = {Betancor, Jorge J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {time varying network; Hankel transformations},
language = {eng},
number = {1},
pages = {1-15},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A generalized Hankel transformation},
url = {http://eudml.org/doc/17692},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Betancor, Jorge J.
TI - A generalized Hankel transformation
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 1
SP - 1
EP - 15
LA - eng
KW - time varying network; Hankel transformations
UR - http://eudml.org/doc/17692
ER -

References

top
  1. Altenburg G., Bessel Transformationen in Räumen von Grundfunktionen über dem intervall Ω = ( 0 , ) und derem dual Räumen, Math. Nachr. 108 (1982), 197-218 (1982) MR0695127
  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 α 0 , α 1 , α 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 (1959) 
  5. Gray A., Mathews G. B., A Treatise on Bessel Functions, London, 1895. Zbl0135.28002
  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. (1968) MR0420164
  8. Koh E. L., Application of an operational calculus to certain varying systems, Int. J. Systems Sci. 9 (1978), 595-601 (1978) MR0487308
  9. Macaulay-Owen P., Parseval's theorem for Hankel transforms, Proc. London Math. Soc. 45 (1939), 458-474 (1939) Zbl0063.03688MR0000314
  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. (1981) 
  11. Schwartz A. L., An inversion formula for Hankel transforms, Proc. Amer. Math. Soc. 22 (1969), 713-717. (1969) MR0243294
  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. (1974) 
  14. Sonine N. J., Recherches sur les fonctions cylindriques et le développement des fonctions continues en series, Math. Ann. XVI (1880), 1-80 MR1510013
  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. (1958) MR1349110
  17. Weyl H., Singulare Intergralgleichungen, Math. Ann. LXVI (1909), 273-324. (1909) 
  18. Zemanian A. H., Generalized Integral Transformations, Interscience Publishers, New York, 1968 Zbl0643.46029MR0423007

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.