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Some New q-Versions of Ramanujan’s Master Theorem

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Abstract

In this paper, we state some new versions of the famous Ramanujan Master Theorem via the q-two dimensional Mellin transform. As applications, some values of Jackson’s q-double integrals involving q-special functions are computed.

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Acknowledgements

The authors would like to express their sincere thanks to the referee for very helpful and detailed comments, which have signicantly improved the presentation of this paper.

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Both the authors equally contributed towards this work.

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Correspondence to Kamel Brahim.

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Communicated by Raymond Moritini.

Dedicated to the memory of our Professor Ahmed Fitouhi (1948–2020).

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Brahim, K., Elmonser, H. Some New q-Versions of Ramanujan’s Master Theorem. Complex Anal. Oper. Theory 17, 17 (2023). https://doi.org/10.1007/s11785-022-01320-w

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  • DOI: https://doi.org/10.1007/s11785-022-01320-w

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