Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination
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 m...
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| Format: | Article |
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MDPI AG
2023-04-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/4/360 |
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| author | Sunday Olufemi Olatunji Matthew Olanrewaju Oluwayemi Georgia Irina Oros |
| author_facet | Sunday Olufemi Olatunji Matthew Olanrewaju Oluwayemi Georgia Irina Oros |
| author_sort | Sunday Olufemi Olatunji |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T05:14:50Z |
| format | Article |
| id | doaj.art-4a26e8762bcb45f9aa326b5a2d5eeef9 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T05:14:50Z |
| publishDate | 2023-04-01 |
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| record_format | Article |
| series | Axioms |
| spelling | doaj.art-4a26e8762bcb45f9aa326b5a2d5eeef92023-11-17T18:19:18ZengMDPI AGAxioms2075-16802023-04-0112436010.3390/axioms12040360Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of SubordinationSunday Olufemi Olatunji0Matthew Olanrewaju Oluwayemi1Georgia Irina Oros2Department of Mathematical Sciences, Federal University of Technology, P.M.B. 704, Akure 340110, NigeriaQuality Education Research Group, Landmark University, SDG 4, Omu-Aran 251103, NigeriaDepartment of Mathematics and Computer Science, University of Oradea, 410087 Oradea, RomaniaGegenbauer 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.https://www.mdpi.com/2075-1680/12/4/360analytic functionstarlike functionconvex functionunivalent functionGegenbauer polynomialsBell numbers |
| spellingShingle | Sunday Olufemi Olatunji Matthew Olanrewaju Oluwayemi Georgia Irina Oros Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination Axioms analytic function starlike function convex function univalent function Gegenbauer polynomials Bell numbers |
| title | Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination |
| title_full | Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination |
| title_fullStr | Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination |
| title_full_unstemmed | Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination |
| title_short | Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination |
| title_sort | coefficient results concerning a new class of functions associated with gegenbauer polynomials and convolution in terms of subordination |
| topic | analytic function starlike function convex function univalent function Gegenbauer polynomials Bell numbers |
| url | https://www.mdpi.com/2075-1680/12/4/360 |
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