Defining Novel Integral Operator on the class of Multivalent Functions

Authors

  • A. A. Yusuf Department of Mathematics, College of Physical Sciences, Federal University of Agriculture, Abeokuta. Ogun , Nigeria
  • A. O. AbdulKareem Department of Mathematics, Lagos State University Ojo, Lagos, Nigeria

Keywords:

Analytic functions, multivalent functions, Opoola integral operator, coefficient inequality, radii and neighborhoods properties

Abstract

In this study, we focus on the class of multivalent functions of a negative coecient by introducing a new subclass of multivalent functions defined by a novel integral operator denoted as I. We investigated the following properties such as coefficient estimate, radii of starlikeness, convexity and close-to-convexity, closure theorems, extreme points, integral means, neighborhood and convolution for the class of multivalent functions denoted as J. The interesting results obtained remarked the existing ones.

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Published

2025-02-20

How to Cite

Yusuf, A. A. ., & AbdulKareem, A. O. (2025). Defining Novel Integral Operator on the class of Multivalent Functions. International Journal of Open Problems in Computer Science and Mathematics, 18(1), 35–55. Retrieved from https://ijopcm.icsrs.uk/index.php/journal/article/view/10

Issue

Int. J. Open Problems Compt. Math., Vol. 18, No. 1, March 2025

Section

Articles