A New Pseudo-Type κ-Fold Symmetric Bi-Univalent Function Class

Swamy, Sondekola Rudra; Cotîrlă, Luminita-Ioana

doi:10.3390/axioms12100953

Axioms

2023

DOI: 10.3390/axioms12100953

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A New Pseudo-Type κ-Fold Symmetric Bi-Univalent Function Class

Sondekola Rudra Swamy,

Luminita-Ioana Cotîrlă

Abstract: We introduce and study a new pseudo-type κ-fold symmetric bi-univalent function class that meets certain subordination conditions in this article. For functions in the newly formed class, the initial coefficient bounds are obtained. For members in this class, the Fekete–Szegö issue is also estimated. In addition, we uncover pertinent links to previous results and give a few observations.

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2024

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Cited by 2 publications

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“…Recently, many authors investigated bounds for various subfamilies of -fold biunivalent functions (see [1,4,7,13,17,19,20,23,25,26,29,31,32]).…”

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confidence: 99%

Two Families of m-fold Symmetric Bi-univalent Functions Involving a Linear Combination of Bazilevic Starlike and Convex Functions

Khachi,

Wanas

2024

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In the present paper, we define two new families $K M_{\Sigma_m}(\lambda, \gamma, \delta ; \alpha)$ and $K M_{\Sigma_m}^*(\lambda, \gamma, \delta ; \beta)$ of holomorphic and m-fold symmetric bi-univalent functions associated with the Bazilevic starlike and convex functions in the open unit disk U. We find upper bounds for the first two Taylor-Maclaurin $\left|a_{m+1}\right|$ and $\left|a_{2 m+1}\right|$ for functions in these families. Further, we point out several special cases for our results.

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“…Recently, many authors investigated bounds for various subfamilies of -fold biunivalent functions (see [1,4,7,13,17,19,20,23,25,26,29,31,32]).…”

mentioning

confidence: 99%

Two Families of m-fold Symmetric Bi-univalent Functions Involving a Linear Combination of Bazilevic Starlike and Convex Functions

Khachi,

Wanas

2024

EJMS

View full text Add to dashboard Cite

show abstract

Upper Bounds for Certain Families of m-Fold Symmetric Bi-Univalent Functions Associating Bazilevic Functions with λ-Pseudo Functions

Ghali,

Wanas

2024

EJMS

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In this paper, we introduce and study a new families $W_{\Sigma_m}(\lambda, \gamma, \delta ; \alpha), W_{\Sigma_m}^*(\lambda, \gamma, \delta ; \beta)$, $M_{\Sigma_m}(\lambda, \gamma, \delta ; \alpha)$ and $M_{\Sigma_m}^*(\lambda, \gamma, \delta ; \beta)$ of holomorphic and $m$-fold symmetric bi-univalent functions associating the Bazilevic functions with $\lambda$-pseudo functions defined in the open unit disk $U$. We find upper bounds for the first two Taylor-Maclaurin $\left|a_{m+1}\right|$ and $\left|a_{2 m+1}\right|$ for functions in these families. Further, we point out several special cases for our results.

show abstract

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A New Pseudo-Type κ-Fold Symmetric Bi-Univalent Function Class

Cited by 2 publications

References 29 publications

Two Families of m-fold Symmetric Bi-univalent Functions Involving a Linear Combination of Bazilevic Starlike and Convex Functions

Two Families of m-fold Symmetric Bi-univalent Functions Involving a Linear Combination of Bazilevic Starlike and Convex Functions

Upper Bounds for Certain Families of m-Fold Symmetric Bi-Univalent Functions Associating Bazilevic Functions with λ-Pseudo Functions

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