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articleNo Access
Two-dimensional $(P, Q)$ $(P, Q)$ -Mellin transform and applications
- Pankaj Jain,
- Chandrani Basu, and
- Vivek Panwar
Asian-European Journal of Mathematics06 Jul 2021
Preview Abstract
In this paper, we have introduced and studied two-dimensional $(P, Q)$ $(P, Q)$ -Mellin transform which extends the known results of two-dimensional $Q$ $Q$ -Mellin transform. We provide its several basic properties, the appropriate convolution, the inversion formula and the Parseval-type relations. Some applications of $(P, Q)$ $(P, Q)$ -Mellin transform have been pointed out in solving integral equations. Finally, a Titchmarsh-type theorem has been proved.

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