Sandwich-Type Theorems for a Family of Non-Bazilevič Functions Involving a q -Analog Integral Operator

Sarem H. Hadi (), Maslina Darus, Firas Ghanim and Alina Alb Lupaş ()
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Sarem H. Hadi: Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq
Maslina Darus: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Firas Ghanim: Department of Mathematics, College of Science, University of Sharjah, Sharjah 27272, United Arab Emirates
Alina Alb Lupaş: Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania

Mathematics, 2023, vol. 11, issue 11, 1-17

Abstract: This article presents a new q -analog integral operator, which generalizes the q -Srivastava–Attiya operator. Using this q -analog operator, we define a family of analytic non-Bazilevič functions, denoted as T q , τ + 1 , u μ ( ϑ , λ , M , N ) . Furthermore, we investigate the differential subordination properties of univalent functions using q -calculus, which includes the best dominance, best subordination, and sandwich-type properties. Our results are proven using specialized techniques in differential subordination theory.

Keywords: univalent functions; q -calculus; non-Bazilevi? function; best dominant; best subordinate; sandwich-type theorems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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