Third-order sandwich results for analytic functions defined by generalized operator

Saeed, Azhar Haider; Atshan, Waggas Galib

doi:10.1063/5.0093563

Cited by 4 publications

(4 citation statements)

References 14 publications

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“…Additionally, corresponding third-order differential superordinations can be explored employing the dual theory of third-order differential superordination, potentially connecting the findings of such a study with current findings through sandwich-type theorems as it can be seen in recent investigations like [31,32].…”

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confidence: 88%

New Applications of Gaussian Hypergeometric Function for Developments on Third-Order Differential Subordinations

Oros

Preluca

2023

Symmetry

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The main objective of this paper is to present classical second-order differential subordination knowledge extended in this study to include new results regarding third-order differential subordinations. The focus of this study is on the main problems examined by differential subordination theory. Hence, the new results obtained here reveal techniques for identifying dominants and the best dominant of certain third-order differential subordinations. Another aspect of novelty is the new application of the Gaussian hypergeometric function. Novel third-order differential subordination results are obtained using the best dominant provided by the theorems and the operator previously defined as Gaussian hypergeometric function’s fractional integral. The research investigation is concluded by giving an example of how the results can be implemented.

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confidence: 88%

New Applications of Gaussian Hypergeometric Function for Developments on Third-Order Differential Subordinations

Oros

Preluca

2023

Symmetry

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“…The present paper utitizes the techniques on the third-order differen 𝑡 ial subordination and superordina 𝑡 ion outcomes of Antonino and Miller [4] and others [8,12,15,16,17,21,23,25,27] and different conditions (𝑠𝑒𝑒 [1,2,3,5,6,7,9,10,11,13,14,18,22]). Certain classes of admissible func 𝑡 ions are investigated in this idea, some properties of the third-order differential subordination and superordina𝑡ion for analytic functions in 𝑈 rela𝑡ed to the operator (𝑆 𝑏,𝛼,𝛾 𝜇,𝛿 𝑓(ⱬ)) are also mentioned.…”

Section: Preliminariesmentioning

confidence: 99%

“…The recent work on differential subordination by some authors [4,8,12,16,15,17,19,21,23,24,25,26,27] drew attention from many experts in this area. see ( [1,2,3,5,6,7,9,10,11,13,14,18,22]).…”

Section: Introductionmentioning

confidence: 99%

Third-Order Differential Subordination and Superordination Results for Analytic Univalent Functions Using Hadamard Product Operator

Jasim,

Atshan

2023

J. Al-Qadisiyah Comp. Sci. Math.

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“…Recently, several authors [2,[23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] gave sandwich-type sequences for types of analytic functions using another sufficient conditions . 2.…”

Section: Introductionmentioning

confidence: 99%

Revised Manuscript On New Sandwich Results of Univalent Functions Defined by a Linear Operator

Mihsin

Atshan²,

Alhily³

2022

Iraqi Journal of Science

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In this research paper, we explain the use of the convexity and the starlikness properties of a given function to generate special properties of differential subordination and superordination functions in the classes of analytic functions that have the form in the unit disk. We also show the significant of these properties to derive sandwich results when the Srivastava- Attiya operator is used.

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Third-order sandwich results for analytic functions defined by generalized operator

Cited by 4 publications

References 14 publications

New Applications of Gaussian Hypergeometric Function for Developments on Third-Order Differential Subordinations

New Applications of Gaussian Hypergeometric Function for Developments on Third-Order Differential Subordinations

Third-Order Differential Subordination and Superordination Results for Analytic Univalent Functions Using Hadamard Product Operator

Revised Manuscript On New Sandwich Results of Univalent Functions Defined by a Linear Operator

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