Geodesic
Hankel Transform in Quantum Calculus and Applications
Fractional calculus and applied analysis, Tome 9 (2006) no. 4, pp. 371-384

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

This paper is devoted to study the q-Hankel transform associated with the third q-Bessel function called also Hahn-Exton function. We use the q- approximation of unit for establishing a q-inverse formula of this transform. Moreover, we establish the related q-Parseval theorem.
Keywords: q-Bessel Function, q-Hankel Transform, 44A15, 33D15, 81Q99 
@article{FCAA_2006_9_4_a3,
     author = {Haddad, Meniar},
     title = {Hankel {Transform} in {Quantum} {Calculus} and {Applications}},
     journal = {Fractional calculus and applied analysis},
     pages = {371--384},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FCAA_2006_9_4_a3/}
}
TY  - JOUR
AU  - Haddad, Meniar
TI  - Hankel Transform in Quantum Calculus and Applications
JO  - Fractional calculus and applied analysis
PY  - 2006
SP  - 371
EP  - 384
VL  - 9
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FCAA_2006_9_4_a3/
LA  - en
ID  - FCAA_2006_9_4_a3
ER  - 
%0 Journal Article
%A Haddad, Meniar
%T Hankel Transform in Quantum Calculus and Applications
%J Fractional calculus and applied analysis
%D 2006
%P 371-384
%V 9
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FCAA_2006_9_4_a3/
%G en
%F FCAA_2006_9_4_a3
Haddad, Meniar. Hankel Transform in Quantum Calculus and Applications. Fractional calculus and applied analysis, Tome 9 (2006) no. 4, pp. 371-384. http://geodesic.mathdoc.fr/item/FCAA_2006_9_4_a3/