Comprehensive subclass of m-fold symmetric bi-univalent functions defined by subordination

Bulut, Serap; Salehian, Safa; Motamednezhad, Ahmad

doi:10.1007/s13370-020-00842-w

Cited by 5 publications

(2 citation statements)

References 20 publications

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“…. Interesting results regarding m−fold symmetric bi-univalent functions were published in the same year when this notion was introduced [21]; this continued to appear in the following years [22][23][24][25] and is still researched today [26,27], proving that the topic remains in development.…”

Section: Introduction and Preliminary Resultsmentioning

confidence: 99%

Coefficient Estimates and the Fekete–Szegö Problem for New Classes of m-Fold Symmetric Bi-Univalent Functions

Oros

Cotîrlǎ

2022

Mathematics

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The results presented in this paper deal with the classical but still prevalent problem of introducing new classes of m-fold symmetric bi-univalent functions and studying properties related to coefficient estimates. Quantum calculus aspects are also considered in this study in order to enhance its novelty and to obtain more interesting results. We present three new classes of bi-univalent functions, generalizing certain previously studied classes. The relation between the known results and the new ones presented here is highlighted. Estimates on the Taylor–Maclaurin coefficients |am+1| and |a2m+1| are obtained and, furthermore, the much investigated aspect of Fekete–Szegő functional is also considered for each of the new classes.

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Section: Introduction and Preliminary Resultsmentioning

confidence: 99%

Coefficient Estimates and the Fekete–Szegö Problem for New Classes of m-Fold Symmetric Bi-Univalent Functions

Oros

Cotîrlǎ

2022

Mathematics

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show abstract

“…Interesting results regarding m-fold symmetric bi-univalent functions were published in the same year when this notion was introduced [21]. This continued to appear in the following years [4,16,31,33] and is still researched today [10,37], proving that the topic remains in development.…”

Section: Srivastava Et Al In the Papermentioning

confidence: 99%

The study of coefficient estimates and Fekete–Szegö inequalities for the new classes of m-fold symmetric bi-univalent functions defined using an operator

Breaz

Cotîrlǎ

2023

J Inequal Appl

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The objective of this paper is to introduce new classes of m-fold symmetric bi-univalent functions. We discuss estimates on the Taylor–Maclaurin coefficients $|a_{m+1}|$ | a m + 1 | and $|a_{2m+1}|$ | a 2 m + 1 | , and the Fekete–Szegő problem is also considered for the new classes of functions introduced. We denote these classes by $MF-S_{\Sigma ,m}^{p,q}(h)$ M F − S Σ , m p , q ( h ) , $MF-S_{\Sigma , m}^{p,q}(s)$ M F − S Σ , m p , q ( s ) , and $MF-S_{\Sigma , m}^{b,d}$ M F − S Σ , m b , d . Quantum calculus aspects are also considered in this study to enhance its novelty and to obtain more interesting results.

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Coefficient Bounds for a Family of s-Fold Symmetric Bi-Univalent Functions

Al-Shbeil

Khan

Tchier

et al. 2023

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We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc in this work. We provide estimates for the first two Taylor–Maclaurin series coefficients for these functions. Furthermore, we define the Salagean differential operator and discuss various applications of our main findings using it. A few new and well-known corollaries are studied in order to show the connection between recent and earlier work.

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Comprehensive subclass of m-fold symmetric bi-univalent functions defined by subordination

Cited by 5 publications

References 20 publications

Coefficient Estimates and the Fekete–Szegö Problem for New Classes of m-Fold Symmetric Bi-Univalent Functions

Coefficient Estimates and the Fekete–Szegö Problem for New Classes of m-Fold Symmetric Bi-Univalent Functions

The study of coefficient estimates and Fekete–Szegö inequalities for the new classes of m-fold symmetric bi-univalent functions defined using an operator

Coefficient Bounds for a Family of s-Fold Symmetric Bi-Univalent Functions

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