Certain subclasses of bi-univalent functions associated with the Horadam polynomials

HM Srivastava, Ş Altınkaya, S Yalçın - Iranian journal of science and …, 2019 - Springer
Abstract In Geometric Function Theory, there have been many interesting and fruitful usages
of a wide variety of special functions and special polynomials. Here, in this article, we …

[HTML][HTML] Initial Maclaurin Coefficient Bounds for New Subclasses of Analytic and m-Fold Symmetric Bi-Univalent Functions Defined by a Linear Combination

HM Srivastava, AK Wanas - Kyungpook mathematical journal, 2019 - kmj.knu.ac.kr
In the present investigation, we define two new subclasses of analytic and m-fold symmetric
bi-univalent functions defined by a linear combination in the open unit disk U. Furthermore …

Faber polynomial coefficient estimates for bi-univalent functions defined by using differential subordination and a certain fractional derivative operator

HM Srivastava, A Motamednezhad, EA Adegani - Mathematics, 2020 - mdpi.com
In this article, we introduce a general family of analytic and bi-univalent functions in the open
unit disk, which is defined by applying the principle of differential subordination between …

[PDF][PDF] A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomials

HM Srivastava, AK Wanas… - Surv. Math …, 2021 - researchgate.net
A certain family of bi-univalent functions associated with the Pascal distribution series
based upon the Horadam polynomials Page 1 Surveys in Mathematics and its Applications …

[PDF][PDF] Faber polynomial coefficient estimates of bi-close-to-convex functions connected with the Borel distribution of the Mittag-Leffler type

HM Srivastava, G Murugusundaramoorthy… - J. Nonlinear Var …, 2021 - jnva.biemdas.com
By using the Borel distribution series of the Mittag-Leffler type, we introduce a new class of
the bi-close-to-convex functions defined in the open unit disk. We then apply the Faber …

Applications of Horadam polynomials on Bazilevic bi-univalent function satisfying subordinate conditions

AK Wanas, AL Alina - Journal of physics: conference series, 2019 - iopscience.iop.org
In the present investigation, we use the Horadam Polynomials to establish upper bounds for
the second and third coefficients of functions belongs to a new subclass of analytic and …

Initial Bounds for Certain Classes of Bi‐Univalent Functions Defined by Horadam Polynomials

C Abirami, N Magesh, J Yamini - Abstract and Applied Analysis, 2020 - Wiley Online Library
The main purpose of this article is to make use of the Horadam polynomials hn (x) and the
generating function Π (x, z), in order to introduce three new subclasses of the bi‐univalent …

New Families of Bi-univalent Functions Associated with the Bazilevič Functions and the -Pseudo-Starlike Functions

HM Srivastava, AK Wanas, HÖ Güney - Iranian Journal of Science and …, 2021 - Springer
In this article, we define two new families T _ Σ (μ, γ, λ; α) T Σ (μ, γ, λ; α) and T _ Σ^*(μ, γ, λ; β)
T Σ∗(μ, γ, λ; β) of normalized holomorphic and bi-univalent functions which involve the …

Subclasses of yamakawa-type Bi-starlike functions associated with gegenbauer polynomials

G Murugusundaramoorthy, T Bulboacă - Axioms, 2022 - mdpi.com
In this paper, we introduce and investigate new subclasses (Yamakawa-type bi-starlike
functions and another class of Lashin, both mentioned in the reference list) of bi-univalent …

Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function

H Priya, B Sruthakeerthi - Scientific Reports, 2023 - nature.com
This present work provides the initial co-efficient bounds of the function f (z) which is defined
in open unit disk D. We introduced bi-univalent class C Σ (λ, t, ν). Making use of Horadam …