Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator

I Al-shbeil, J Gong, TG Shaba - Fractal and Fractional, 2023 - mdpi.com
This article defines a new operator called the q-Babalola convolution operator by using
quantum calculus and the convolution of normalized analytic functions in the open unit disk …

[HTML][HTML] Hankel determinants and coefficient estimates for starlike functions related to symmetric Booth Lemniscate

M Raza, A Riaz, Q **n, SN Malik - Symmetry, 2022 - mdpi.com
In this paper, we find Hankel determinants and coefficient bounds for a subclass of starlike
functions related to Booth lemniscate. In particular, we obtain the first four sharp coefficient …

[HTML][HTML] Sharp bounds of Hankel determinant on logarithmic coefficients for functions of bounded turning associated with petal-shaped domain

L Shi, M Arif, A Rafiq, M Abbas, J Iqbal - Mathematics, 2022 - mdpi.com
The purpose of this article is to obtain the sharp estimates of the first four initial logarithmic
coefficients for the class BT s of bounded turning functions associated with a petal-shaped …

[HTML][HTML] Sharp bounds for the second Hankel determinant of logarithmic coefficients for strongly starlike and strongly convex functions

S Sümer Eker, B Şeker, B Çekiç, M Acu - Axioms, 2022 - mdpi.com
The logarithmic coefficients are very essential in the problems of univalent functions theory.
The importance of the logarithmic coefficients is due to the fact that the bounds on …

Third Hankel determinant for a subfamily of holomorphic functions related with lemniscate of Bernoulli

H Orhan, M Çağlar, LI Cotîrlă - Mathematics, 2023 - mdpi.com
The main goal of this investigation is to obtain sharp upper bounds for Fekete-Szegö
functional and the third Hankel determinant for a certain subclass SL∗ u, v, α of holomorphic …

[HTML][HTML] The study of the new classes of m-fold symmetric bi-univalent functions

D Breaz, LI Cotîrlă - Mathematics, 2021 - mdpi.com
In this paper, we introduce three new subclasses of m-fold symmetric holomorphic functions
in the open unit disk U, where the functions f and f− 1 are m-fold symmetric holomorphic …

[HTML][HTML] Bi-univalent problems involving certain new subclasses of generalized multiplier transform on analytic functions associated with modified sigmoid function

JO Hamzat, AT Oladipo, GI Oros - Symmetry, 2022 - mdpi.com
The object of the present work is to investigate certain new classes of bi-univalent functions
introduced in this paper using the concept of subordination. The research involves a …

[PDF][PDF] Bi-univalent functions of complex order defined by Hohlov operator associated with legendrae polynomial

G Murugusundaramoorthy, LI Cotîrla - AIMS Math, 2022 - researchgate.net
In this paper, we introduce and investigate two new subclasses of the function class Σ of bi-
univalent functions of complex order defined in the open unit disk, which are associated with …

Bi-Univalent Functions of Complex Order Defined by Hohlov Operator Associated with Lucas Polynomial

E Muthaiyan - Sahand Communications in Mathematical …, 2024 - scma.maragheh.ac.ir
On this study, two new subclasses of the function class $\** $ of bi-univalent functions of
complex order defined in the open unit disc are introduced and investigated. These …

[HTML][HTML] Fourth Hankel determinant problem based on certain analytic functions

H Tang, M Arif, M Haq, N Khan, M Khan, K Ahmad… - Symmetry, 2022 - mdpi.com
In recent years, the Hankel determinant bounds for different subclasses of analytic, starlike
and symmetric starlike functions have been discussed and studied by the many well-known …