Coeficient estimates for a subclass of meromorphic bi-univalent functions defined by subordination

Motamednezhad, Ahmad; Bulut, Serap

doi:10.24193/subbmath.2020.1.05

Cited by 2 publications

(1 citation statement)

References 18 publications

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“…In the mathematical sciences, notably in the field of geometric function theory, these Faber polynomials are crucial. In this regard, in order to obtain the optimal bounds of |a n | for the coefficients of bi-univalent functions, some researchers used the Faber polynomial expansions [18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Coefficient Bounds for Some Families of Bi-Univalent Functions with Missing Coefficients

Analouei Adegani,

Jafari,

Bulboacă

et al. 2023

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A branch of complex analysis with a rich history is geometric function theory, which first appeared in the early 20th century. The function theory deals with a variety of analytical tools to study the geometric features of complex-valued functions. The main purpose of this paper is to estimate more accurate bounds for the coefficient |an| of the functions that belong to a class of bi-univalent functions with missing coefficients that are defined by using the subordination. The significance of our present results consists of improvements to some previous results concerning different recent subclasses of bi-univalent functions, and the aim of this paper is to improve the results of previous outcomes. In addition, important examples of some classes of such functions are provided, which can help to understand the issues related to these functions.

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Section: Introductionmentioning

confidence: 99%

Coefficient Bounds for Some Families of Bi-Univalent Functions with Missing Coefficients

Analouei Adegani,

Jafari,

Bulboacă

et al. 2023

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

Murugusundaramoorthy¹,

Cotîrlǎ

2022

MATH

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<abstract><p>In this paper, we introduce and investigate two new subclasses of the function class $ \Sigma $ of bi-univalent functions of complex order defined in the open unit disk, which are associated with the Hohlov operator, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients $ |a_2| $ and $ |a_3| $ for functions in these new subclasses. Several (known or new) consequences of the results are also pointed out.</p></abstract>

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Coeficient estimates for a subclass of meromorphic bi-univalent functions defined by subordination

Cited by 2 publications

References 18 publications

Coefficient Bounds for Some Families of Bi-Univalent Functions with Missing Coefficients

Coefficient Bounds for Some Families of Bi-Univalent Functions with Missing Coefficients

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

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