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Research Article | Open Access

Classes of analytic functions involving the q-Ruschweyh operator and q-Bernardi operator

Khadeejah Rasheed Alhindi1( ), Khalid M. K. Alshammari2, Huda Ali Aldweby3
Department of Computer Science, College of Computer Science and Information Technology, Imam Abdulrahman Bin Faisal University, P. O. Box 1982, Dammam 31441, Saudi Arabia
Department of Mathematics, College of Science, University of Ha'il, Ha'il 55425, Saudi Arabia
Department of Mathematics, Faculty of Science, Alasmarya Islamic University, Libya
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Abstract

In this paper, we introduced and studied two new classes of analytic functions using the concepts of subordination and q-calculus. We established inclusion relations for these q-classes and integral-preserving properties associated with the q-integral operator. We also determined certain convolution properties.

Keywords

q-derivativeq-integral operatoranalytic functionsunivalent functionscoefficient estimatesRuschweyh operatorBernardi operator
CLC number: 30C45

References

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 33301-33313
DOI: 10.3934/math.20241589

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Cite this article:
Alhindi KR, Alshammari KMK, Aldweby HA. Classes of analytic functions involving the q-Ruschweyh operator and q-Bernardi operator. AIMS Mathematics, 2024, 9(11): 33301-33313. https://doi.org/10.3934/math.20241589

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Received: 22 September 2024
Revised: 10 November 2024
Accepted: 13 November 2024
Published: 22 November 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)