Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points
Let ( )∗, , , c SA B αdelta; denote the class of analytic and univalent functions in an open unit disk E ={zE c:lzl<1} of the form f(z)=z+∞Σn-2 anzn and satisfy {eia zf'(z)/g(z)-δ-isinα}1/tαβ-<1+az/1+bz where g (z)=f(z)+f-(z)/2, t αβ=cos α-δ> 0, 0 ≤ δ<1, lαl<π/2 and n-2 -1≤ B<...
| Published in: | Sains Malaysiana |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2021
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85122263195&doi=10.17576%2fjsm-2021-5012-23&partnerID=40&md5=103ea15d8e2e89b7587d714990a443e5 |
| Summary: | Let ( )∗, , , c SA B αdelta; denote the class of analytic and univalent functions in an open unit disk E ={zE c:lzl<1} of the form f(z)=z+∞Σn-2 anzn and satisfy {eia zf'(z)/g(z)-δ-isinα}1/tαβ-<1+az/1+bz where g (z)=f(z)+f-(z)/2, t αβ=cos α-δ> 0, 0 ≤ δ<1, lαl<π/2 and n-2 -1≤ B<A≤1.This paper presents the coefficient bounds for functions in c SA B αdelta; using symmetric Toeplitz determinants T2(2), T3(2) and T3 1. T The results obtained generalize the results for some existing subclasses in the literature. © 2021 Penerbit Universiti Kebangsaan Malaysia. All rights reserved. |
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| ISSN: | 1266039 |
| DOI: | 10.17576/jsm-2021-5012-23 |