Quasi subordination of bi-univalent functions involving convolution operator

Shehab, Nihad Hameed; Juma, Abdul Rahman S.

doi:10.1063/5.0093531

Cited by 2 publications

(1 citation statement)

References 22 publications

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“…Readers can see [1] for details. In a similar manner, the authors in [27] provided the bounds on the first two Taylor-Maclaurin coefficients |a 2 | and |a 3 | for the class of functions in the class investigated, while [28] used a convolution operator involving Hurwitz-Lerch Zeta and the generalized derived operator that satisfies quasi subordination conditions. We now define the two classes of functions to be investigated in this study as follows.…”

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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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

View full text Add to dashboard Cite

show abstract

New Results of Differential Subordination for a Specific Subclass of p-Valent Meromorphic Functions Involving a New Operator

Shehab,

Juma,

Cotîrlă

et al. 2024

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The present article aims to significantly improve geometric function theory by making an important contribution to p-valent meromorphic and analytic functions. It focuses on subordination, which describes the relationships of analytic functions. In order to achieve this, we utilize a technique that is based on the properties of differential subordination. This approach, which is one of the most recent developments in this field, may obtain a number of conclusions about differential subordination for p-valent meromorphic functions described by the new operator IHp,q,s j,pν1,n,α,lJ(ζ) within the porous unit disk Δ. Numerous mathematical and practical issues involving orthogonal polynomials, such as system identification, signal processing, fluid dynamics, antenna technology, and approximation theory, can benefit from the results presented in this article. The knowledge and comprehension of the unit’s analytical functions and its interacting higher relations are also greatly expanded by this text.

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Quasi subordination of bi-univalent functions involving convolution operator

Cited by 2 publications

References 22 publications

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

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

New Results of Differential Subordination for a Specific Subclass of p-Valent Meromorphic Functions Involving a New Operator

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