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Starlike Functions Associated with Bernoulli’s Numbers of Second Kindopen access
- Issue Date
- Aug-2023
- Publisher
- Multidisciplinary Digital Publishing Institute (MDPI)
- Keywords
- Bernoulli’s number of second kind; coefficient bounds; Hankel determinants; inclusion results; radii problems; starlike functions; subordination
- Citation
- Axioms, v.12, no.8
- Journal Title
- Axioms
- Volume
- 12
- Number
- 8
- ISSN
- 2075-1680
2075-1680
- Abstract
- The aim of this paper is to introduce a class of starlike functions that are related to Bernoulli’s numbers of the second kind. Let (Formula presented.), where the coefficients of (Formula presented.) are Bernoulli numbers of the second kind. Then, we introduce a subclass of starlike functions (Formula presented.) such that (Formula presented.) We found out the coefficient bounds, several radii problems, structural formulas, and inclusion relations. We also found sharp Hankel determinant problems of this class. © 2023 by the authors.
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