Hankel Determinants and Coefficient Estimates for Starlike Functions Related to Symmetric Booth Lemniscate

Raza, Mohsan; Riaz, Amina; Xin, Qin

doi:10.3390/sym14071366

Cited by 13 publications

(8 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Basic properties of the class U were studied in [18]. In recent years, the class U has received a lot of attention, for instance in the works of [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37].…”

Section: Informationmentioning

confidence: 99%

Univalence and Starlikeness of Certain Classes of Analytic Functions

Alarifi

Obradović

2023

Symmetry

View full text Add to dashboard Cite

For the analytic functions ϕ(ζ)=ζ+∑k=n∞ϕkζk in the unit disk O, we calculate the values of n and α, where the condition ℜ1+ζϕ″(ζ)/ϕ′(ζ)>−α or ℜ1+ζϕ″(ζ)/ϕ′(ζ)<1+α/2 yields univalence and starlikeness. Conditions imply ϕ in the class where all normalized analytic functions U, with ζ/ϕ(ζ)2ϕ′(ζ)−1<1 are obtained. Recent findings are gained, and unique cases are demonstrated. The generalization of the Jack lemma serves the proof of the main result and that our methodology is based on the idea of subordination.

show abstract

Section: Informationmentioning

confidence: 99%

Univalence and Starlikeness of Certain Classes of Analytic Functions

Alarifi

Obradović

2023

Symmetry

View full text Add to dashboard Cite

show abstract

“…For more information, refer to the book chapter mentioned in [37]. For recent studies, see the following published articles [38][39][40][41][42].…”

Section: Introduction and Definitionsmentioning

confidence: 99%

New Applications of Fractional q-Calculus Operator for a New Subclass of q-Starlike Functions Related with the Cardioid Domain

Khan,

AbaOud

2024

Fractal Fract

View full text Add to dashboard Cite

Recently, a number of researchers from different fields have taken a keen interest in the domain of fractional q-calculus on the basis of fractional integrals and derivative operators. This has been used in various scientific research and technology fields, including optics, mathematical biology, plasma physics, electromagnetic theory, and many more. This article explores some mathematical applications of the fractional q-differential and integral operator in the field of geometric function theory. By using the linear multiplier fractional q-differintegral operator Dq,λmρ,σ and subordination, we define and develop a collection of q-starlike functions that are linked to the cardioid domain. This study also investigates sharp inequality problems like initial coefficient bounds, the Fekete–Szego problems, and the coefficient inequalities for a new class of q-starlike functions in the open unit disc U. Furthermore, we analyze novel findings with respect to the inverse function (μ−1) within the class of q-starlike functions in U. The findings in this paper are easy to understand and show a connection between present and past studies.

show abstract

“…Al-Shbeil et al [12] studied some remarkable results for a subclass of bi-univalent functions employing the q-Chebyshev polynomials more recently as an application of the q-derivative operator. We refer to [12][13][14][15][16][17][18]. for a study of some general classes of q-starlike functions connected to the Janowski domain.…”

Section: Introduction and Definitionsmentioning

confidence: 99%

Applications of the Symmetric Quantum-Difference Operator for New Subclasses of Meromorphic Functions

et al. 2023

View full text Add to dashboard Cite

Our goal in this article is to use ideas from symmetric q-calculus operator theory in the study of meromorphic functions on the punctured unit disc and to propose a novel symmetric q-difference operator for these functions. A few additional classes of meromorphic functions are then defined in light of this new symmetric q-difference operator. We prove many useful conclusions regarding these newly constructed classes of meromorphic functions, such as convolution, subordination features, integral representations, and necessary conditions. The technique presented in this article may be used to produce a wide variety of new types of generalized symmetric q-difference operators, which can subsequently be used to investigate a wide variety of new classes of analytic and meromorphic functions related to symmetric quantum calculus.

show abstract

Hankel Determinants and Coefficient Estimates for Starlike Functions Related to Symmetric Booth Lemniscate

Cited by 13 publications

References 43 publications

Univalence and Starlikeness of Certain Classes of Analytic Functions

Univalence and Starlikeness of Certain Classes of Analytic Functions

New Applications of Fractional q-Calculus Operator for a New Subclass of q-Starlike Functions Related with the Cardioid Domain

Applications of the Symmetric Quantum-Difference Operator for New Subclasses of Meromorphic Functions

Contact Info

Product

Resources

About