COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF QUASI-CONVEX FUNCTIONS ASSOCIATED WITH CARLSON-SHAFFER OPERATOR
Let Υ denote the class of functions 𝜒(𝜉) of the form 𝜒(𝜉) = 𝜉 + ∑ 𝑎𝑛∞𝑛=2 𝜉𝑛 which are analytic in the open unit disc Δ = { 𝜉 ∈ ℂ: |𝜉| < 1 }. In recent times investigating the properties of several existing and new subclasses of quasi-convex functions have gained importance and attracted researc...
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Institute of Mechanics of Continua and Mathematical Sciences
2025-03-01
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| author | R. Sathish Srinivasan R. Ezhilarasi K. R. Karthikeyan T. V. Sudharsan |
| author_facet | R. Sathish Srinivasan R. Ezhilarasi K. R. Karthikeyan T. V. Sudharsan |
| author_sort | R. Sathish Srinivasan |
| collection | DOAJ |
| description | Let Υ denote the class of functions 𝜒(𝜉) of the form 𝜒(𝜉) = 𝜉 + ∑ 𝑎𝑛∞𝑛=2 𝜉𝑛
which are analytic in the open unit disc Δ = { 𝜉 ∈ ℂ: |𝜉| < 1 }. In recent times
investigating the properties of several existing and new subclasses of quasi-convex functions have gained importance and attracted researchers working in the theory of univalent functions. Using the Carlson-Shaffer operator, we introduce new subclasses of quasi-convex functions. The coefficient bounds for functions belonging to the defined function classes are our main results. Further, we establish various well-known results as corollaries to our main results. |
| format | Article |
| id | doaj-art-0bb87eb9c48d48d3ae1a5dfefe8f6bf3 |
| institution | DOAJ |
| issn | 0973-8975 2454-7190 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Institute of Mechanics of Continua and Mathematical Sciences |
| record_format | Article |
| series | Journal of Mechanics of Continua and Mathematical Sciences |
| spelling | doaj-art-0bb87eb9c48d48d3ae1a5dfefe8f6bf32025-08-20T03:13:03ZengInstitute of Mechanics of Continua and Mathematical SciencesJournal of Mechanics of Continua and Mathematical Sciences0973-89752454-71902025-03-0120319820710.26782/jmcms.2025.03.00013COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF QUASI-CONVEX FUNCTIONS ASSOCIATED WITH CARLSON-SHAFFER OPERATORR. Sathish Srinivasan0R. Ezhilarasi1K. R. Karthikeyan2T. V. Sudharsan3Department of Mathematics, S.I.V.E.T. College, Gowrivakkam, Chennai - 600073, Tamil Nadu, India.Department of Mathematics, S.I.V.E.T. College, Gowrivakkam, Chennai - 600073, Tamil Nadu, India.Department of Applied Mathematics and Science, College of Engineering National University of Science and Technology, Muscat, Oman.Department of Mathematics, S.I.V.E.T. College, Gowrivakkam, Chennai600073, Tamil Nadu, India.Let Υ denote the class of functions 𝜒(𝜉) of the form 𝜒(𝜉) = 𝜉 + ∑ 𝑎𝑛∞𝑛=2 𝜉𝑛 which are analytic in the open unit disc Δ = { 𝜉 ∈ ℂ: |𝜉| < 1 }. In recent times investigating the properties of several existing and new subclasses of quasi-convex functions have gained importance and attracted researchers working in the theory of univalent functions. Using the Carlson-Shaffer operator, we introduce new subclasses of quasi-convex functions. The coefficient bounds for functions belonging to the defined function classes are our main results. Further, we establish various well-known results as corollaries to our main results.https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/03/13091829/jmcms-2503032-COEFFICIENT-BOUNDS.pdfanalytic functionquasi-convexclose to convexclose to starjanowski functioncoefficient estimatescarlson-shaffer operator |
| spellingShingle | R. Sathish Srinivasan R. Ezhilarasi K. R. Karthikeyan T. V. Sudharsan COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF QUASI-CONVEX FUNCTIONS ASSOCIATED WITH CARLSON-SHAFFER OPERATOR Journal of Mechanics of Continua and Mathematical Sciences analytic function quasi-convex close to convex close to star janowski function coefficient estimates carlson-shaffer operator |
| title | COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF QUASI-CONVEX FUNCTIONS ASSOCIATED WITH CARLSON-SHAFFER OPERATOR |
| title_full | COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF QUASI-CONVEX FUNCTIONS ASSOCIATED WITH CARLSON-SHAFFER OPERATOR |
| title_fullStr | COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF QUASI-CONVEX FUNCTIONS ASSOCIATED WITH CARLSON-SHAFFER OPERATOR |
| title_full_unstemmed | COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF QUASI-CONVEX FUNCTIONS ASSOCIATED WITH CARLSON-SHAFFER OPERATOR |
| title_short | COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF QUASI-CONVEX FUNCTIONS ASSOCIATED WITH CARLSON-SHAFFER OPERATOR |
| title_sort | coefficient bounds for certain subclasses of quasi convex functions associated with carlson shaffer operator |
| topic | analytic function quasi-convex close to convex close to star janowski function coefficient estimates carlson-shaffer operator |
| url | https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/03/13091829/jmcms-2503032-COEFFICIENT-BOUNDS.pdf |
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