Sharp bounds of Hankel determinant on logarithmic coefficients for functions starlike with exponential function

L Shi, M Arif, J Iqbal, K Ullah, SM Ghufran - Fractal and Fractional, 2022 - mdpi.com
Using the Lebedev–Milin inequalities, bounds on the logarithmic coefficients of an analytic
function can be transferred to estimates on coefficients of the function itself and related …

Results on second-Order Hankel determinants for convex functions with symmetric points

K Ullah, I Al-Shbeil, MI Faisal, M Arif, H Alsaud - Symmetry, 2023 - mdpi.com
One of the most important problems in the study of geometric function theory is knowing how
to obtain the sharp bounds of the coefficients that appear in the Taylor–Maclaurin series of …

The second Hankel determinant of logarithmic coefficients for strongly Ozaki close-to-convex functions

S Sümer Eker, A Lecko, B Çekiç, B Şeker - Bulletin of the Malaysian …, 2023 - Springer
The aim of this paper is to determine sharp bound for the second Hankel determinant of
logarithmic coefficients H 2, 1 (F f/2) of strongly Ozaki close-to-convex functions in the open …

Problems Concerning Coefficients of Symmetric Starlike Functions Connected with the Sigmoid Function

MI Faisal, I Al-Shbeil, M Abbas, M Arif, RK Alhefthi - Symmetry, 2023 - mdpi.com
In numerous geometric and physical applications of complex analysis, estimating the sharp
bounds of coefficient-related problems of univalent functions is very important due to the fact …

Certain sharp coefficient results on a subclass of starlike functions defined by the quotient of analytic functions

L Shi, M Arif - Fractal and Fractional, 2023 - mdpi.com
In the present paper, we consider a subclass of starlike functions G 3/2 defined by the ratio
of analytic representations of convex and starlike functions. The main aim is to determine the …

Fractional Differential Operator Based on Quantum Calculus and Bi-Close-to-Convex Functions

Z Jia, A Alb Lupaş, H Bin Jebreen, GI Oros, T Bulboacă… - Mathematics, 2024 - mdpi.com
In this article, we first consider the fractional q-differential operator and the λ, q-fractional
differintegral operator D q λ: A→ A. Using the λ, q-fractional differintegral operator, we define …

Subordination properties of certain operators concerning fractional integral and Libera integral operator

GI Oros, G Oros, S Owa - Fractal and Fractional, 2022 - mdpi.com
The results contained in this paper are the result of a study regarding fractional calculus
combined with the classical theory of differential subordination established for analytic …

Hankel determinant for certain new classes of analytic functions associated the activation functions

YJ Sun, M Arif, K Ullah, L Shi, MI Faisal - Heliyon, 2023 - cell.com
In this article, we introduce two new classes of analytic functions J tanh and JSG which are
associated with the activation functions and defined by the ratio of analytic representations …

The second Hankel determinant of logarithmic coefficients and logarithmic inverse coefficients for the class of bounded turning functions of order α

B Şeker, B Çekiç, S Sümer, O Akçiçek - Lithuanian Mathematical Journal, 2024 - Springer
In this paper, we obtain sharp bounds for the second Hankel determinant of logarithmic
coefficients H 2, 1 (F f/2) of bounded turning functions of order α. Furthermore, we obtain …

New Developments in Geometric Function Theory

GI Oros - Axioms, 2023 - mdpi.com
This Special Issue aims to highlight the latest developments in the research concerning
complex-valued functions from the perspective of geometric function theory. Contributions …