Fekete–Szegö inequalities on certain subclasses of analytic functions defined by $$\lambda$$-pseudo-q-difference operator associated with s-sigmoid function

Olatunji, Sunday Oluwafemi

doi:10.1007/s40590-022-00445-4

Bol. Soc. Mat. Mex.

2022

DOI: 10.1007/s40590-022-00445-4

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Fekete–Szegö inequalities on certain subclasses of analytic functions defined by $$\lambda$$-pseudo-q-difference operator associated with s-sigmoid function

Sunday Oluwafemi Olatunji

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Cited by 3 publications

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Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination

Olatunji

Oluwayemi

Oros

2023

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Gegenbauer polynomials constitute a numerical tool that has attracted the interest of many function theorists in recent times mainly due to their real-life applications in many areas of the sciences and engineering. Their applications in geometric function theory (GFT) have also been considered by many researchers. In this paper, this powerful tool is associated with the prolific concepts of convolution and subordination. The main purpose of the research contained in this paper is to introduce and study a new subclass of analytic functions. This subclass is presented using an operator defined as the convolution of the generalized distribution and the error function and applying the principle of subordination. Investigations into this subclass are considered in connection to Carathéodory functions, the modified sigmoid function and Bell numbers to obtain coefficient estimates for the contained functions.

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Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination

Olatunji

Oluwayemi

Oros

2023

Axioms

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Properties of q-Symmetric Starlike Functions of Janowski Type

et al. 2022

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The word “symmetry” is a Greek word that originated from “symmetria”. It means an agreement in dimensions, due proportion, and arrangement; however, in complex analysis, it means objects remaining invariant under some transformation. This idea has now been recently used in geometric function theory to modify the earlier classical q-derivative introduced by Ismail et al. due to its better convergence properties. Consequently, we introduce a new class of analytic functions by using the notion of q-symmetric derivative. The investigation in this paper obtains a number of the latest important results in q-theory, including coefficient inequalities and convolution characterization of q-symmetric starlike functions related to Janowski mappings.

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On a Certain Subclass of p-Valent Analytic Functions Involving q-Difference Operator

2022

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Fekete–Szegö inequalities on certain subclasses of analytic functions defined by $$\lambda$$-pseudo-q-difference operator associated with s-sigmoid function

Cited by 3 publications

References 13 publications

Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination

Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination

Properties of q-Symmetric Starlike Functions of Janowski Type

On a Certain Subclass of p-Valent Analytic Functions Involving q-Difference Operator

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