H.M. Srivastava, Khalid Alshammari, Maslina Darus, A new q-fractional integral operator and its applications to the coefficient problem involving the second Hankel determinant for q-starlike and q-convex functions

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DOI: 10.23952/jnva.7.2023.6.07

Volume 7, Issue 6, 1 December 2023, Pages 985-994

Abstract. In this article, we introduce and study a new q-fractional integral operator which essentially stems from a successive application of the Srivastava-Owa operator of fractional integration with the q-Ruscheweyh derivative operator. As an application of this new q-fractional integral operator, we investigate a coefficient problem involving the second Hankel determinant $H_2^2(f)$ for normalized analytic and univalent functions $f(z)$ belonging to some normalized families of q-starlike and q-convex functions in the open unit disk $\mathbb{U}$ .

How to Cite this Article:
H.M. Srivastava, Khalid Alshammari, Maslina Darus, A new q-fractional integral operator and its applications to the coefficient problem involving the second Hankel determinant for q-starlike and q-convex functions, J. Nonlinear Var. Anal. 7 (2023), 985-994.