Coefficient Estimates for Bazilevic Functions of Bi-Prestarlike Functions

Wanas, Abbas Kareem

doi:10.18514/mmn.2020.3174

Cited by 5 publications

(2 citation statements)

References 20 publications

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“…Let Σ stand for the family of bi-univalent functions in U given by (1). Beginning with Srivastava et al pioneering work [31] on the subject, a large number of works related to the subject have been presented (see, for example, [6,7,8,9,10,15,23,25,27,28,30,32,35,36,39,40,41,42,45,46]). From the work of Srivastava et al [31], we choose to recall the following examples of functions in the family Σ :…”

Section: Introductionmentioning

confidence: 99%

New family of bi-univalent functions with respect to symmetric conjugate points associated with Borel distribution

Wanas,

Cotîrlă

2023

Acta Universitatis Sapientiae, Mathematica

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In this paper, we introduce and investigate a new family, denoted by 𝒲Σ sc (λ, η, δ, r), of normalized holomorphic and bi-univalent functions with respect to symmetric conjugate points, defined in 𝕌, by making use the Borel distribution series, which is associated with the Horadam polynomials. We derive estimates on the initial Taylor-Maclaurin coefficients and solve the Fekete-Szeg˝o type inequalities for functions in this family.

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Section: Introductionmentioning

confidence: 99%

New family of bi-univalent functions with respect to symmetric conjugate points associated with Borel distribution

Wanas,

Cotîrlă

2023

Acta Universitatis Sapientiae, Mathematica

Self Cite

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“…In the year 2010, Srivastava et al [10] refreshed the study of various classes of bi-univalent functions. Moreover, many penmans explored bounds for different subclasses of bi-univalent functions (see, for example [3,4,8,11,12] [6])…”

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confidence: 99%

Coefficient Bounds and Fekete-Szegӧ Problem for a New Subclasses of Holomorphic Bi-Univalent Functions Defined by Horadam polynomials

Al-Ziadi

Wanas²

2021

Al-Qadisiyah Journal of Pure Science

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In the present paper, by making use the Horadam polynomials, we introduce and investigate two new subclasses and of the function class of holomorphic bi-univalent functions in the open unit disk Δ. For functions belonging to this subclasses, we obtain upper bounds for the second and third coefficients and discuss Fekete-Szegӧ problem. Furthermore, we point out several new special cases of our results.

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Applications of (M,N)-Lucas Polynomials for a Certain Family of Bi-Univalent Functions Associating λ-Pseudo-Starlike Functions with Sakaguchi Type Functions

Wanas,

Cătaş

et al. 2024

EJMS

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In this article, we use the (M,N)-Lucas Polynomials to determinate upper bounds for the Taylor-Maclaurin coefficients $\left|a_{2}\right|$ and $\left| a_{3}\right|$ for functions belongs to a certain family of holomorphic and bi-univalent functions associating $\lambda$-pseudo-starlike functions with Sakaguchi type functions defined in the open unit disk $\mathbb{D}$. Also, we discuss Fekete-Szeg\"{o} problem for functions belongs to this family.

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Coefficient Estimates for Bazilevic Functions of Bi-Prestarlike Functions

Cited by 5 publications

References 20 publications

New family of bi-univalent functions with respect to symmetric conjugate points associated with Borel distribution

New family of bi-univalent functions with respect to symmetric conjugate points associated with Borel distribution

Coefficient Bounds and Fekete-Szegӧ Problem for a New Subclasses of Holomorphic Bi-Univalent Functions Defined by Horadam polynomials

Applications of (M,N)-Lucas Polynomials for a Certain Family of Bi-Univalent Functions Associating λ-Pseudo-Starlike Functions with Sakaguchi Type Functions

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