Some New q-Versions of Ramanujan’s Master Theorem

Some New q-Versions of Ramanujan’s Master Theorem

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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Veröffentlicht in:Complex analysis and operator theory 2023, Vol.17 (1), Article 17
Hauptverfasser: Brahim, Kamel, Elmonser, Hedi
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
Mellin transforms
Operator Theory
Theorems
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Beschreibung
Zusammenfassung: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.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-022-01320-w