Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator

Seoudy, T. M.; Aouf, M. K.

doi:10.33205/cma.648478

Cited by 20 publications

(11 citation statements)

References 8 publications

(5 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Proof. If f ∈ S L * (β), then we have to substitute values from Equation (14) into Equation (16) and into Equation (5). Doing so, after some simplification, we obtain…”

Section: Second Hankel Determinant Of Inverse Functionsmentioning

confidence: 99%

See 1 more Smart Citation

On Hankel and Inverse Hankel Determinants of Order Two for Some Subclasses of Analytic Functions

Shah,

Turki,

Lee

et al. 2023

Symmetry

View full text Add to dashboard Cite

show abstract

“…Proof. If f ∈ S L * (β), then we have to substitute values from Equation (14) into Equation (16) and into Equation (5). Doing so, after some simplification, we obtain…”

Section: Second Hankel Determinant Of Inverse Functionsmentioning

confidence: 99%

“…, for µ = 1, which is the famous Fekete-Szeg ö functional [6]. For work in this direction, see for example [14].…”

Section: Introductionmentioning

confidence: 99%

On Hankel and Inverse Hankel Determinants of Order Two for Some Subclasses of Analytic Functions

Shah,

Turki,

Lee

et al. 2023

Symmetry

View full text Add to dashboard Cite

show abstract

“…The solution of this problem is of great interest in the geometric function theory. In the literature, there is a huge amount of results for several classes of functions that deal with the solution of the Fekete-Szegö problem (see, [32][33][34][35][36][37][38][39]).…”

Section: Introductionmentioning

confidence: 99%

Initial Coefficients Estimates and Fekete–Szegö Inequality Problem for a General Subclass of Bi-Univalent Functions Defined by Subordination

Illafe

Yousef

Mohd

et al. 2023

Axioms

View full text Add to dashboard Cite

In the present work, we aim to introduce and investigate a novel comprehensive subclass of normalized analytic bi-univalent functions involving Gegenbauer polynomials and the zero-truncated Poisson distribution. For functions in the aforementioned class, we find upper estimates of the second and third Taylor–Maclaurin coefficients, and then we solve the Fekete–Szegö functional problem. Moreover, by setting the values of the parameters included in our main results, we obtain several links to some of the earlier known findings.

show abstract

“…The Fekete-Szegö problem (for specific subclasses of starlike univalent functions) is considered based on the proposed convoluted operator. This problem was studied recently in [4].…”

Section: Introductionmentioning

confidence: 99%

On New Symmetric Schur Functions Associated with Integral and Integro-Differential Functional Expressions in a Complex Domain

Hadid

Ibrahim

2023

Symmetry

View full text Add to dashboard Cite

The symmetric Schur process has many different types of formals, such as the functional differential, functional integral, and special functional processes based on special functions. In this effort, the normalized symmetric Schur process (NSSP) is defined and then used to determine the geometric and symmetric interpretations of mathematical expressions in a complex symmetric domain (the open unit disk). To obtain more symmetric properties involving NSSP, we consider a symmetric differential operator. The outcome is a symmetric convoluted operator. Geometrically, studies are presented for the suggested operator. Our method is based on the theory of differential subordination.

show abstract

Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator

Abstract: In this paper, we study Fekete-Szegö problem for certain subclass of analytic functions with complex order in the open unit disk by applying the q−analogue of Ruscheweyh operator in conjunction with the principle of subordination between analytic functions.

Cited by 20 publications

References 8 publications

On Hankel and Inverse Hankel Determinants of Order Two for Some Subclasses of Analytic Functions

On Hankel and Inverse Hankel Determinants of Order Two for Some Subclasses of Analytic Functions

Initial Coefficients Estimates and Fekete–Szegö Inequality Problem for a General Subclass of Bi-Univalent Functions Defined by Subordination

On New Symmetric Schur Functions Associated with Integral and Integro-Differential Functional Expressions in a Complex Domain

Contact Info

Product

Resources

About