Some coefficient properties of a certain family of regular functions associated with lemniscate of Bernoulli and Opoola differential operator

Rasheed Olawale Ayinla; Ayotunde Olajide Lasode

doi:10.26637/mjm1202/007

Abstract

Abstract. In this exploration, we introduce a certain family of regular (or analytic) functions in association with the righthalf of the Lemniscate of Bernoulli and the well-known Opoola differential operator. For the regular function $f$ studied in this work, some estimates for the early coefficients, Fekete-Szegö functionals and second and third Hankel determinants are established. Another established result is the sharp upper estimate of the third Hankel determinant for the inverse function $f^{-1}$ of $f$.

Keywords:

Regular function, Lemniscate of Bernoulli, Fekete-Szegö functional, inverse function, coefficient bounds, Hankel determinant, Opoola differential operator

Mathematics Subject Classification:

30C45, 30C50

Authors Imprint References Funding Related Articles Downloads

Rasheed Olawale Ayinla Faculty of Science, Department of Mathematics and Statistics, Kwara State University, Malete, Nigeria. https://orcid.org/0000-0003-0621-0028
Ayotunde Olajide Lasode Faculty of Physical Sciences, Department of Mathematics, University of Ilorin, Ilorin, Nigeria.

Pages: 218-228
Date Published: 01-04-2024
Vol. 12 No. 02 (2024): Malaya Journal of Matematik (MJM)

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