Article ID: MTJPAM-D-24-00062

Title: A new family of meromorphic multivalent functions defined by Bessel functions

Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-24-00062; Volume 6 / Issue 2 / Year 2024, Pages 69-77

Document Type: Research Paper

Author(s): Krishnan Marimuthu ^a , Sibel Yalçın ^b, Uma Jayaraman ^c, Gunasekar Saravanan ^d, Sudharsanan Baskaran ^e

^aDepartment of Mathematics, Vel Tech High Tech Dr.Rangarajan Dr.Sukunthala Engineering College, Avadi, Chennai-600062, Tamilnadu, India

^bDepartment of Mathematics, Faculty of Arts and Sciences, University of Bursa Uludag, Görükle, Bursa, Turkey

^cDepartment of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603203, Tamilnadu, India

^dDepartment of Mathematics, Amirta School of Engineering, Amrita Vishwa Vidyapeetham, Chennai-601103, Tamilnadu, India

^eDepartment of Mathematics, Agurchand Manmull Jain College, Meenambakkam, Chennai-600061, Tamilnadu, India

Received: 30 April 2024, Accepted: 1 September 2024, Published: 29 September 2024

Corresponding Author: Sibel Yalçın (Email address: syalcin@uludag.edu.tr)

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Abstract

In this paper, we define a subclass which consists of Bessel functions denoted by of the form in the open unit disk . Further, we determine the coefficient estimates, radius of starlikeness, radius of convexity and distortion bounds for the class .

Keywords: Bessel functions, meromorphic, analytic, p-valent

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