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On the use of Mellin transform to a class of q-difference-differential equations

Mathematical Physics 2009-10-31 v1 High Energy Physics - Theory math.MP Quantum Algebra

Abstract

We explore the possibility of using the method of classical integral transforms to solve a class of qq-difference-differential equations. The Laplace and the Mellin transform of qq-derivatives are derived. The results show that the Mellin transform of the qq-derivative resembles most closely the corresponding expression in classical analysis, and it could therefore be useful in solving certain qq-difference equations.

Keywords

Cite

@article{arxiv.math-ph/0004028,
  title  = {On the use of Mellin transform to a class of q-difference-differential equations},
  author = {Choon-Lin Ho},
  journal= {arXiv preprint arXiv:math-ph/0004028},
  year   = {2009}
}

Comments

13 pages, LaTex, no figures