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

Hamzat, J. O.; Oladipo, Abiodun Tinuoye; Oros, Georgia Irina

doi:10.3390/sym14071479

Cited by 6 publications

(1 citation statement)

References 24 publications

(20 reference statements)

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“…If function f and its inverse f −1 are univalent in E, then the function f ∈ A is biunivalent in E. There have been some studies that considered quite a number of bi-univalent functions. See [1,4,10,[23][24][25] for more information.…”

Section: Introductionmentioning

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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Section: Introductionmentioning

confidence: 99%

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

Olatunji,

Oluwayemi,

Porwal

et al. 2024

Symmetry

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Extensive novel waves evolution of three-dimensional Yu–Toda–Sasa–Fukuyama equation compatible with plasma and electromagnetic applications

2023

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There is no doubt that the investigation of the interaction and propagation of plasma and electromagnetic waves play an important role in understanding these phenomena. The three-dimensional Yu–Toda–Sasa–Fukuyama equation (YTSFE) is a competent mathematical model of waves in plasma, electromagnetics, or fluids. An optimal system of infinitesimal symmetries is constructed to discover extensive and astonishingly exact solutions to the YTSFE. The outstanding solutions include periodic, polynomials, fractional, logarithmic, exponential, hyperbolic, exponential integral, Airy and complex functions. These solutions are significant because they help understand how plasma and electromagnetic applications work at different boundary or initial conditions.

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On Rabotnov fractional exponential function for bi-univalent subclasses

Al-Hawary,

Frasin,

Wanas

et al. 2023

Asian-European J. Math.

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Considering the interesting results obtained recently by studying Rabotnov function, a new investigation is presented in this paper related to the topic of introducing new classes of bi-univalent functions. Using the normalized Rabotnov function and the concept of subordination, a new class of bi-univalent functions [Formula: see text] is defined and studied regarding coefficient estimates. Bounds of the Taylor–Maclaurin coefficients [Formula: see text] and [Formula: see text] are given and using those estimates, Fekete–Szegö problem is also investigated for the newly introduced class. For particular values of the parameters involved in the definition of the class [Formula: see text], certain particular classes are obtained and investigated in the corollaries associated to each result proved for the class [Formula: see text].

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

Cited by 6 publications

References 24 publications

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

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

Extensive novel waves evolution of three-dimensional Yu–Toda–Sasa–Fukuyama equation compatible with plasma and electromagnetic applications

On Rabotnov fractional exponential function for bi-univalent subclasses

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