New subfamilies of univalent functions defined by Opoola differential operator and connected with modified Sigmoid function

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DOI:

https://doi.org/10.26637/mjm11S/004

Abstract

In this exploration, by making use of the Hadamard product of Opoola differential operator and modified sigmoid function, we define new subclasses of analytical and univalent functions \(\mathcal{T}_n \, S^k(\phi, \beta, \xi, \lambda, \delta, L, M, \mu, \rho, \omega) \) and \(\mathcal{T}_n \, \mathcal{V}^k(\phi, \beta, \xi, \lambda, \delta, L, M, \mu, \rho, \omega)\) and discussed some properties of the classes; such as the coefficient estimates, Growth and Closure theorems.

Keywords:

Analytic Function, Hadamard product, modified sigmoid function, Opoola differential operator, Univalent Function

Mathematics Subject Classification:

30C45, 30C50
  • TIMOTHY OLOYEDE OPOOLA Department of Mathematics, University of Ilorin, P.M.B 1515, Ilorin, Kwara State - Nigeria.
  • EZEKIEL ABIODUN OYEKAN Department of Mathematical Sciences, Olusegun Agagu University of Science and Technology, P.M.B 353, Okitipupa, Ondo State - Nigeria
  • SEYI DEBORAH OLUWASEGUN Department of Mathematical Sciences, Olusegun Agagu University of Science and Technology, P.M.B 353, Okitipupa, Ondo State - Nigeria
  • PETER OLUWAFEMI ADEPOJU Department of Mathematical Sciences, Olusegun Agagu University of Science and Technology, P.M.B 353, Okitipupa, Ondo State - Nigeria
  • Pages: 53-69
  • Date Published: 01-10-2023
  • Vol. 11 No. S (2023): Malaya Journal of Matematik (MJM): Special Issue Dedicated to Professor Gaston M. N'Guérékata’s 70th Birthday

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01-10-2023

How to Cite

TIMOTHY OLOYEDE OPOOLA, EZEKIEL ABIODUN OYEKAN, SEYI DEBORAH OLUWASEGUN, and PETER OLUWAFEMI ADEPOJU. “New Subfamilies of Univalent Functions Defined by Opoola Differential Operator and Connected With Modified Sigmoid Function”. Malaya Journal of Matematik, vol. 11, no. S, Oct. 2023, pp. 53-69, doi:10.26637/mjm11S/004.

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Vol. 11 No. S (2023): Malaya Journal of Matematik (MJM): Special Issue Dedicated to Professor Gaston M. N'Guérékata’s 70th Birthday

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Copyright (c) 2023 TIMOTHY OLOYEDE OPOOLA, EZEKIEL ABIODUN OYEKAN, SEYI DEBORAH OLUWASEGUN, PETER OLUWAFEMI ADEPOJU

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