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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

On Generalized Weyl Fractional $q$-Integral Operator of General Class of $q$-Polynomials

Discontinuity, Nonlinearity, and Complexity 13(4) (2024) 733--741 | DOI:10.5890/DNC.2024.12.011

Biniyam Shimelis, D.L. Suthar

Department of Mathematics, Wollo University, P.O. Box 1145, Dessie, Ethiopia

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Abstract

In the present paper, we obtain generalized Weyl fractional $q$-integrals of the general class of $q$-polynomials and demonstrate their use by studying $q$-Konhouser biorthogonal polynomial, $q$-Jacobi polynomials and basic analogue of the Kamp\'{e} de F\'{e}riet function. Polynomials have been obtained as a particular case of our major findings.

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