On the use of Mellin transform to a class of q-difference-differential equations
Ho, Choon-Lin
arXiv, 0004028 / Harvested from arXiv
Text on arXiv
We explore the possibility of using the method of classical integral transforms to solve a class of $q$-difference-differential equations. The Laplace and the Mellin transform of $q$-derivatives are derived. The results show that the Mellin transform of the $q$-derivative resembles most closely the corresponding expression in classical analysis, and it could therefore be useful in solving certain $q$-difference equations.
Publié le : 2000-04-23
Classification:  Mathematical Physics,  High Energy Physics - Theory,  Mathematics - Quantum Algebra 
@article{0004028,
     author = {Ho, Choon-Lin},
     title = {On the use of Mellin transform to a class of q-difference-differential
  equations},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0004028}
}

Ho, Choon-Lin. On the use of Mellin transform to a class of q-difference-differential
  equations. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0004028/