On Coefficient Inequalities of Starlike Functions Related to the q-Analog of Cosine Functions Defined by the Fractional q-Differential Operatoropen access
- Authors
- Taj, Yusra; Malik, Sarfraz Nawaz; Cătaş, Adriana; Ro, Jong-Suk; Tchier, Fairouz; Tawfiq, Ferdous M. O.
- Issue Date
- Nov-2023
- Publisher
- Multidisciplinary Digital Publishing Institute (MDPI)
- Keywords
- analytic function; exponential function; factorial functional; q-derivative (or difference) operator; q-starlike functions; univalent function
- Citation
- Fractal and Fractional, v.7, no.11
- Journal Title
- Fractal and Fractional
- Volume
- 7
- Number
- 11
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/70695
- DOI
- 10.3390/fractalfract7110782
- ISSN
- 2504-3110
2504-3110
- Abstract
- This article extends the study of q-versions of analytic functions by introducing and studying the association of starlike functions with trigonometric cosine functions, both defined in their q-versions. Certain coefficient inequalities like coefficient bounds, Zalcman inequalities, and both Hankel and Toeplitz determinants for the new version of starlike functions are investigated. It is worth mentioning that most of the determined inequalities are sharp with the support of relevant extremal functions. © 2023 by the authors.
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