Subclasses of Multivalent Analytic Functions Associated with a q -Difference Operator

Ekram Elsayed Ali and Teodor Bulboacă
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Ekram Elsayed Ali: Department of Mathematics, Faculty of Science, University of Ha′il, Ha′il 81451, Saudi Arabia
Teodor Bulboacă: Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania

Mathematics, 2020, vol. 8, issue 12, 1-8

Abstract: In this article we introduced and studied some inclusion properties for new subclasses of multivalent analytic functions defined by using the q -derivative operator. With the aid of the Jackson q -derivative we defined two new operators that generalize many other previously studied operators, and help us to define two new subclasses of functions with several interesting properties studied in this paper. The methods used for the proof of our results are special tools of the differential subordination theory of one-variable functions.

Keywords: analytic function; Hadamard (convolution) product; q-derivative operator; multivalent functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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