Some Properties of Close-To-Convex Functions Associated with A Strip Domain
Using subordination, we introduce a new class of symmetric functions associated with a vertical strip domain. We have provided some interesting deviations or adaptation which are helpful in unification and extension of various studies of analytic functions. Inclusion relations, geometrical interpret...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_708845_0a0a0ce57a663be184853e37f8d30a73.pdf |
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| _version_ | 1823859382523265024 |
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| author | Kadhavoor Karthikeyan Seetharam Varadharajan Sakkarai Lakshmi |
| author_facet | Kadhavoor Karthikeyan Seetharam Varadharajan Sakkarai Lakshmi |
| author_sort | Kadhavoor Karthikeyan |
| collection | DOAJ |
| description | Using subordination, we introduce a new class of symmetric functions associated with a vertical strip domain. We have provided some interesting deviations or adaptation which are helpful in unification and extension of various studies of analytic functions. Inclusion relations, geometrical interpretation, coefficient estimates, inverse function coefficient estimates and solution to the Fekete-Szeg\H{o} problem of the defined class are our main results. Applications of our main results are given as corollaries. |
| format | Article |
| id | doaj-art-26ade0a06e444641a2aa833f7d4906e3 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-26ade0a06e444641a2aa833f7d4906e32025-02-11T05:24:46ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-0121210512410.22130/scma.2023.1987052.1233708845Some Properties of Close-To-Convex Functions Associated with A Strip DomainKadhavoor Karthikeyan0Seetharam Varadharajan1Sakkarai Lakshmi2Department of Applied Mathematics and Science, National University of Science & Technology, Muscat, PC 130, Oman.Mathematics Section, Department of Information Technology, University of Technology and Applied Sciences - Al Mussanah, Oman.Mathematics Section, Department of Information Technology, University of Technology and Applied Sciences - Al Mussanah, Oman.Using subordination, we introduce a new class of symmetric functions associated with a vertical strip domain. We have provided some interesting deviations or adaptation which are helpful in unification and extension of various studies of analytic functions. Inclusion relations, geometrical interpretation, coefficient estimates, inverse function coefficient estimates and solution to the Fekete-Szeg\H{o} problem of the defined class are our main results. Applications of our main results are given as corollaries.https://scma.maragheh.ac.ir/article_708845_0a0a0ce57a663be184853e37f8d30a73.pdfstarlike functionconvex functionvertical domainfekete-szeg\h{o} inequalitysubordination |
| spellingShingle | Kadhavoor Karthikeyan Seetharam Varadharajan Sakkarai Lakshmi Some Properties of Close-To-Convex Functions Associated with A Strip Domain Sahand Communications in Mathematical Analysis starlike function convex function vertical domain fekete-szeg\h{o} inequality subordination |
| title | Some Properties of Close-To-Convex Functions Associated with A Strip Domain |
| title_full | Some Properties of Close-To-Convex Functions Associated with A Strip Domain |
| title_fullStr | Some Properties of Close-To-Convex Functions Associated with A Strip Domain |
| title_full_unstemmed | Some Properties of Close-To-Convex Functions Associated with A Strip Domain |
| title_short | Some Properties of Close-To-Convex Functions Associated with A Strip Domain |
| title_sort | some properties of close to convex functions associated with a strip domain |
| topic | starlike function convex function vertical domain fekete-szeg\h{o} inequality subordination |
| url | https://scma.maragheh.ac.ir/article_708845_0a0a0ce57a663be184853e37f8d30a73.pdf |
| work_keys_str_mv | AT kadhavoorkarthikeyan somepropertiesofclosetoconvexfunctionsassociatedwithastripdomain AT seetharamvaradharajan somepropertiesofclosetoconvexfunctionsassociatedwithastripdomain AT sakkarailakshmi somepropertiesofclosetoconvexfunctionsassociatedwithastripdomain |