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: | , |
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Format: | Article |
Language: | English |
Published: |
Penerbit Universiti Kebangsaan Malaysia
2021
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Online Access: | http://journalarticle.ukm.my/18340/1/23.pdf http://journalarticle.ukm.my/18340/ https://www.ukm.my/jsm/malay_journals/jilid50bil12_2021/KandunganJilid50Bil12_2021.html |
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Summary: | 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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