Toeplitz determinant for a subclass of tilted starlike functions with respect to conjugate points

Let ()*,,,cSABαδ denote the class of analytic and univalent functions in an open unit disk of the form ()2nnnfzzaz∞==+Σ and satisfy ()()11sin1izfzAzeigztBzααδδα′+−−+where()()() ,2fzfzgz+=cos0,tαδαδ=−>0<1,δ≤2πα< and 11.BA−≤<≤ This paper presents the coefficient bounds for funct...

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Main Authors: Nur Hazwani Aqilah Abdul Wahid, Daud Mohamad
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2021
Online Access:http://journalarticle.ukm.my/18340/
http://journalarticle.ukm.my/18340/1/23.pdf
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author Nur Hazwani Aqilah Abdul Wahid,
Daud Mohamad,
author_facet Nur Hazwani Aqilah Abdul Wahid,
Daud Mohamad,
author_sort Nur Hazwani Aqilah Abdul Wahid,
building UKM Institutional Repository
collection Online Access
description Let ()*,,,cSABαδ denote the class of analytic and univalent functions in an open unit disk of the form ()2nnnfzzaz∞==+Σ and satisfy ()()11sin1izfzAzeigztBzααδδα′+−−+where()()() ,2fzfzgz+=cos0,tαδαδ=−>0<1,δ≤2πα< and 11.BA−≤<≤ This paper presents the coefficient bounds for functions in ()*,,,cSABαδ using symmetric Toeplitz determinants ()22,T()32T and ()31.T The results obtained generalize the results for some existing subclasses in the literature.
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institution Universiti Kebangasaan Malaysia
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spelling oai:generic.eprints.org:183402022-04-11T04:51:57Z http://journalarticle.ukm.my/18340/ Toeplitz determinant for a subclass of tilted starlike functions with respect to conjugate points Nur Hazwani Aqilah Abdul Wahid, Daud Mohamad, Let ()*,,,cSABαδ denote the class of analytic and univalent functions in an open unit disk of the form ()2nnnfzzaz∞==+Σ and satisfy ()()11sin1izfzAzeigztBzααδδα′+−−+where()()() ,2fzfzgz+=cos0,tαδαδ=−>0<1,δ≤2πα< and 11.BA−≤<≤ This paper presents the coefficient bounds for functions in ()*,,,cSABαδ using symmetric Toeplitz determinants ()22,T()32T and ()31.T The results obtained generalize the results for some existing subclasses in the literature. Penerbit Universiti Kebangsaan Malaysia 2021-12 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/18340/1/23.pdf Nur Hazwani Aqilah Abdul Wahid, and Daud Mohamad, (2021) Toeplitz determinant for a subclass of tilted starlike functions with respect to conjugate points. Sains Malaysiana, 50 (12). pp. 3745-3751. ISSN 0126-6039 https://www.ukm.my/jsm/malay_journals/jilid50bil12_2021/KandunganJilid50Bil12_2021.html
spellingShingle Nur Hazwani Aqilah Abdul Wahid,
Daud Mohamad,
Toeplitz determinant for a subclass of tilted starlike functions with respect to conjugate points
title 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_short 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
url http://journalarticle.ukm.my/18340/
http://journalarticle.ukm.my/18340/
http://journalarticle.ukm.my/18340/1/23.pdf