Some properties of a new subclass of m-fold symmetric
          bi-Bazilevic functions associates with modified sigmoid function

Hamzat, J. O.

doi:10.32513/tmj/1932200819

Cited by 6 publications

(4 citation statements)

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“…Interestingly, authors in [2,3,26,29,30] also investigated different classes of functions of interest. See also [31][32][33][34][35][36].…”

Section: Significance Of Studying Bi-univalent Functions In Geometric...mentioning

confidence: 99%

On Quasi-Subordination for Bi-Univalency Involving Generalized Distribution Series

Olatunji,

Oluwayemi,

Porwal

et al. 2024

Symmetry

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Various researchers have considered different forms of bi-univalent functions in recent times, and this has continued to gain more attention in Geometric Function Theory (GFT), but not much study has been conducted in the area of application of the certain probability concept in geometric functions. In this manuscript, our motivation is the application of analytic and bi-univalent functions. In particular, the researchers examine bi-univalency of a generalized distribution series related to Bell numbers as a family of Caratheodory functions. Some coefficients of the class of the function are obtained. The results are new as far work on bi-univalency is concerned.

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“…Interestingly, authors in [2,3,26,29,30] also investigated different classes of functions of interest. See also [31][32][33][34][35][36].…”

Section: Significance Of Studying Bi-univalent Functions In Geometric...mentioning

confidence: 99%

On Quasi-Subordination for Bi-Univalency Involving Generalized Distribution Series

Olatunji,

Oluwayemi,

Porwal

et al. 2024

Symmetry

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“…A number of operators [8], subordination properties [9], generalization techniques [10], and the inverse of the square-root transform of the Koebe function [11] were used to derive recent coefficient estimates for general subclasses of m-fold symmetric analytic bi-univalent functions. Subclasses of m-fold symmetric bi-bazilevic functions related to modified Sigmoid functions were considered in [12], and those related to conic domains were considered in [13]. Aspects such as coefficient estimates were taken into consideration when extending, generalizing, and improving the starlikeness criteria for specific subclasses of analytic and bi-univalent functions [14]; additionally, specific coefficient estimates were provided for specific families of bi-Bazilevic functions of the Ma-Minda type that involve the Hohlov operator [15].…”

Section: Introduction and Definitionsmentioning

confidence: 99%

Faber Polynomial Coefficient Inequalities for a Subclass of Bi-Close-To-Convex Functions Associated with Fractional Differential Operator

Tawfiq,

Tchier,

Cotîrlă

2023

Fractal Fract

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In this study, we begin by examining the τ-fractional differintegral operator and proceed to establish a novel subclass in the open unit disk E. The determination of the nth coefficient bound for functions within this recently established class is accomplished by the use of the Faber polynomial expansion approach. Additionally, we examine the behavior of the initial coefficients of bi-close-to-convex functions defined by the τ-fractional differintegral operator, which may exhibit unexpected reactions. We established connections between our current research and prior studies in order to validate our significant findings.

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“…Coefficient estimates for general subclasses of m-fold symmetric analytic bi-univalent functions were also obtained recently using different types of operators [10], applying subordination properties [11], involving generalization techniques linking the results to previously obtained ones [12], or using the inverse of the square-root transform of the Koebe function [13]. Subclasses of m-fold symmetric bi-bazilevic functions associated with modified Sigmoid functions were considered in [14] and associated with conic domains in [15]. Quantum calculus aspects were also considered in the investigation of subclasses of m-fold symmetric analytic bi-univalent functions in [16].…”

Section: Introductionmentioning

confidence: 99%

Bi-Univalent Problems Involving Certain New Subclasses of Generalized Multiplier Transform on Analytic Functions Associated with Modified Sigmoid Function

2022

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The object of the present work is to investigate certain new classes of bi-univalent functions introduced in this paper using the concept of subordination. The research involves a generalized multiplier transform defined in this paper which is a generalization of known operators and the modified sigmoid function. The results contained in the proved theorems refer to coefficient estimates for the functions in the newly introduced classes.

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Some properties of a new subclass of m-fold symmetric bi-Bazilevic functions associates with modified sigmoid function

Cited by 6 publications

References 0 publications

On Quasi-Subordination for Bi-Univalency Involving Generalized Distribution Series

On Quasi-Subordination for Bi-Univalency Involving Generalized Distribution Series

Faber Polynomial Coefficient Inequalities for a Subclass of Bi-Close-To-Convex Functions Associated with Fractional Differential Operator

Bi-Univalent Problems Involving Certain New Subclasses of Generalized Multiplier Transform on Analytic Functions Associated with Modified Sigmoid Function

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