The Bounds of Some Determinants for Starlike Functions of Order Alpha

In the present paper, sharp estimates of some determinants over the class S ∗ ( α ) , α ∈ [ 0 , 1 ) , of analytic functions f such that Re ( z f ′ ( z ) / f ( z ) ) > α , z ∈ D : = z ∈ C : | z | < 1 , are computed.

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Bibliographic Details
Published inBulletin of the Malaysian Mathematical Sciences Society Vol. 41; no. 1; pp. 523 - 535
Main Authors Cho, N. E., Kowalczyk, B., Kwon, O. S., Lecko, A., Sim, Y. J.
Format Journal Article
LanguageEnglish
Published Singapore Springer Singapore 2018
Springer Nature B.V
Subjects
Analytic functions
Applications of Mathematics
Determinants
Mathematics
Mathematics and Statistics
Starlike functions
Univalent functions
Starlike functions of order alpha
Hankel determinant
Primary 30C45
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Summary:In the present paper, sharp estimates of some determinants over the class S ∗ ( α ) , α ∈ [ 0 , 1 ) , of analytic functions f such that Re ( z f ′ ( z ) / f ( z ) ) > α , z ∈ D : = z ∈ C : | z | < 1 , are computed.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-017-0476-x