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DOI: 10.23952/jnfa.2023.12
Received February 9, 2023; Accepted March 17, 2023; Published April 4, 2023
Abstract. In this paper, we demonstrate the technique of iterations and generalize Riemann–Liouville fractional q-integrals involving Cauchy polynomials. We obtain the generalizations of Srivastava-Agarwal type generating functions by generalized fractional q-integrals involving Cauchy polynomials. Moreover, we also derive generating functions for Rajković-Marinković-Stanković polynomials involving Cauchy polynomial by fractional q-integrals. At last, we deduce a generalization of Jackson’s transformation formula by fractional q-integrals involving Cauchy polynomials.
How to Cite this Article:
J. Cao, J.Y. Huang, S. Arjika, Generalizations of fractional q-integrals involving Cauchy polynomials and some applications, J. Nonlinear Funct. Anal. 2023 (2023) 12.