Coefficient Bounds for New Subclasses of m-Fold Symmetric Holomorphic Bi-Univalent Functions

Ramadhan, Ali Mohammed; Al-Ziadi, Najah Ali Jiben

doi:10.34198/ejms.10222.227239

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Cited by 3 publications

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“…Recently, many penmen inverstigated bounds for various subclasses of m-fold symmetric holomorphic bi-univalent functions (see [1,2,6,10,11,12,14,15]).…”

Section: Introductionmentioning

confidence: 99%

Maclaurin Coefficient Estimates for a New General Subclasses of m-Fold Symmetric Holomorphic Bi-Univalent Functions

Al-Asadi

Al-Ziadi

2023

EJMS

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The purpose of the present paper is to introduce and investigate two new general subclasses $\mathcal{M} \mathcal{A}_{\Sigma_{m}}(\delta, \lambda ; \alpha)$ and $\mathcal{M} \mathcal{A}_{\Sigma_{m}}(\delta, \lambda ; \beta)$ of $\Sigma_{m}$ consisting of holomorphic and m-fold symmetric bi-univalent functions defined in the open unit disk $U$. For functions belonging to the two classes introduced here, we derive estimates on the initial coefficients $\left|d_{m+1}\right|$ and $\left|d_{2 m+1}\right|$. We get new special cases for our results. In addition, Several related classes are also investigated and connections to earlier known outcomes are made.

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“…Recently, many penmen inverstigated bounds for various subclasses of m-fold symmetric holomorphic bi-univalent functions (see [1,2,6,10,11,12,14,15]).…”

Section: Introductionmentioning

confidence: 99%

Maclaurin Coefficient Estimates for a New General Subclasses of m-Fold Symmetric Holomorphic Bi-Univalent Functions

Al-Asadi

Al-Ziadi

2023

EJMS

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Some remarks for subclasses of bi-univalent functions defined by Ruscheweyh derivative operator

Sabir

2024

Filomat

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This paper presents two subclasses of analytic and bi-univalent functions associated with the Ruscheweyh derivative operator to investigate the bounds for |a2| and |a3|, where a2 and a3 are the initial Tayler-Maclaurin coefficients. The current results would generalize and improve some corresponding recent works. Additionally, in certain cases, our estimates correct some of the existing coefficient bounds.

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Initial Coefficient Estimates for New Families of m-Fold Symmetric Bi-univalent Functions

Hassan,

Al-Ziadi

2023

EJMS

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Coefficient Bounds for New Subclasses of m-Fold Symmetric Holomorphic Bi-Univalent Functions

Cited by 3 publications

References 16 publications

Maclaurin Coefficient Estimates for a New General Subclasses of m-Fold Symmetric Holomorphic Bi-Univalent Functions

Maclaurin Coefficient Estimates for a New General Subclasses of m-Fold Symmetric Holomorphic Bi-Univalent Functions

Some remarks for subclasses of bi-univalent functions defined by Ruscheweyh derivative operator

Initial Coefficient Estimates for New Families of m-Fold Symmetric Bi-univalent Functions

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