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

@article{Ho2000OnTU,
  title={On the use of Mellin transform to a class of q-difference-differential equations},
  author={C. Ho},
  journal={Physics Letters A},
  year={2000},
  volume={268},
  pages={217-223}
}
  • C. Ho
  • Published 2000
  • Physics, Mathematics
  • Physics Letters A
Abstract 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. 

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Symmetries and integrability of difference equations
Special functions and q-commuting variables
$q$-special functions, a tutorial
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