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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| Format: | Article |
| Language: | English |
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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 |
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2-s2.0-85122263195 Wahid N.H.A.A.; Mohamad D. Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points 2021 Sains Malaysiana 50 12 10.17576/jsm-2021-5012-23 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85122263195&doi=10.17576%2fjsm-2021-5012-23&partnerID=40&md5=103ea15d8e2e89b7587d714990a443e5 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. Penerbit Universiti Kebangsaan Malaysia 1266039 English Article All Open Access; Gold Open Access |
| author |
Wahid N.H.A.A.; Mohamad D. |
| spellingShingle |
Wahid N.H.A.A.; Mohamad D. Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points |
| author_facet |
Wahid N.H.A.A.; Mohamad D. |
| author_sort |
Wahid N.H.A.A.; Mohamad D. |
| title |
Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points |
| title_short |
Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points |
| title_full |
Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points |
| title_fullStr |
Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points |
| title_full_unstemmed |
Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points |
| title_sort |
Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points |
| publishDate |
2021 |
| container_title |
Sains Malaysiana |
| container_volume |
50 |
| container_issue |
12 |
| doi_str_mv |
10.17576/jsm-2021-5012-23 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85122263195&doi=10.17576%2fjsm-2021-5012-23&partnerID=40&md5=103ea15d8e2e89b7587d714990a443e5 |
| description |
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. |
| publisher |
Penerbit Universiti Kebangsaan Malaysia |
| issn |
1266039 |
| language |
English |
| format |
Article |
| accesstype |
All Open Access; Gold Open Access |
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1809677893418090496 |