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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Mechanics of Continua and Mathematical Sciences
2025-03-01
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| Series: | Journal of Mechanics of Continua and Mathematical Sciences |
| Subjects: | |
| Online Access: | https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/03/13091829/jmcms-2503032-COEFFICIENT-BOUNDS.pdf |
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| Summary: | 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. |
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| ISSN: | 0973-8975 2454-7190 |