Bessel-Wright transform in the setting of quantum calculus

DOI10.11568/kjm.2021.29.2.253zbMath1471.33008OpenAlexW3175373362MaRDI QIDQ5006084

Lazhar Dhaouadi, Wafa Binous, I. Karoui, Meniar Haddad

Publication date: 12 August 2021

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/view/987

zbMATH Keywords

\(q\)-harmonic analysis\(q\)-Bessel-Wright function\(q\)-Bessel-Wright transform\(q\)-Hardy transform

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

• Paley-Wiener theorem for the \(q\)-Bessel transform and associated \(q\)-sampling formula
• The \textit{q-j}\(_\alpha\) Bessel function
• The Bessel-Struve intertwining operator on \(\mathbb{C}\) and mean-periodic functions
• An extension of the Bessel-Wright transform in the class of Boehmians
• On the Bessel-Wright transform
• Inversion formulas for \(q\)-Riemann-Liouville and \(q\)-Weyl transforms
• On the Bessel-Wright Operator and Transmutation with Applications
• On q-Analogues of the Fourier and Hankel Transforms
• On the $q$-Bessel Fourier transform
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