On the use of Mellin transform to a class of /qdifferencedifferential equations
Abstract
We explore the possibility of using the method of classical integral transforms to solve a class of qdifferencedifferential equations. The Laplace and the Mellin transform of qderivatives are derived. The results show that the Mellin transform of the qderivative resembles most closely the corresponding expression in classical analysis, and it could therefore be useful in solving certain qdifference equations.
 Publication:

Physics Letters A
 Pub Date:
 April 2000
 DOI:
 10.1016/S03759601(00)001912
 arXiv:
 arXiv:mathph/0004028
 Bibcode:
 2000PhLA..268..217H
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 13 pages, LaTex, no figures