Sharp bounds of the Fekete–Szegö problem and second hankel determinant for certain bi-Univalent Functions Defined by a novel q-differential Operator associated …

TG Shaba, S Araci, BO Adebesin, F Tchier… - Fractal and …, 2023 - mdpi.com
In this present paper, we define a new operator in conjugation with the basic (or q-) calculus.
We then make use of this newly defined operator and define a new class of analytic and bi …

A subclass of Bazilevic functions associated with combination of Opoola and Swamy operators and satisfying subordinate condition

SR Swamy, EA Oyekan, PO Adepoju… - Annals of Mathematics …, 2023 - annalsmcs.org
This investigation involves the application of Horadam polynomials and subordination to a
subclass of Bazilevic functions of type alpha for the purpose of obtaining some initial bounds …

[PDF][PDF] FEKETE-SZEGÖ PROBLEM AND SECOND HANKEL DETERMINANT FOR A SUBCLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH FOUR LEAF …

T Shaba, S Araci, BO Adebesin - Asia Pac. J. Math., 2023 - apjm.apacific.org
A. The ongoing study and the well-known idea of coefficient estimates for the classes of
analytic and bi-univalent functions serve as our inspirations for this paper. We begin by …

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

RO Ayinla, AO Lasode - Malaya Journal of Matematik, 2024 - researchgate.net
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 …

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

TO OPOOLA, EA OYEKAN… - Malaya Journal of …, 2023 - malayajournal.org
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 …

On a Certain Class of Bi-Univalent Functions in Connection with Gegenbauer Polynomials

RO Ayinla, AO Lasode - Pan-American Journal of Mathematics, 2024 - mathyze.com
Recent direction of studies shows that there is a kin connection between regular functions
and orthogonal polynomials. In this paper, we study a new class of regular and bi-univalent …

[PDF][PDF] SECOND HANKEL DETERMINANT FOR A CERTAIN FUNCTION CLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SˇALˇAGEAN DERIVATIVE …

EA OYEKAN, AO LASODE, O ADESHINA… - Eur. J. Math …, 2023 - researchgate.net
In this work, we investigate the bounds on the fourth initial coefficient| a4| and the second
Hankel determinant| a2a4-a2 3| for a class of analytic and bi-univalent functions defined in …

[PDF][PDF] Fourth Teoplitz Determinant for Analytic Function Defined by Gegenbauer Polynomial involving the Sine function

OR Oluwaseyi, WT Ademosu… - International Journal of …, 2023 - ajol.info
Fourth Teoplitz Determinant for Analytic Function Defined by Gegenbauer Polynomial involving
the Sine function Page 1 International Journal of Mathematical Sciences and Optimization …

Some properties of a class of generalized Janowski-type -starlike functions associated with Opoola -differential operator and -differential subordination

A Lasode, T Opoola - … Faculty of Sciences University of Ankara …, 2024 - dergipark.org.tr
Without qualms, studies show that quantum calculus has received great attention in recent
times. This can be attributed to its wide range of applications in many science areas. In this …