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On Coefficient Inequalities of Starlike Functions Related to the q-Analog of Cosine Functions Defined by the Fractional q-Differential Operator
- Taj, Yusra;
- Malik, Sarfraz Nawaz;
- Cătaş, Adriana;
- Ro, Jong-Suk;
- Tchier, Fairouz;
- 외 1명
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4초록
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.
키워드
analytic function; exponential function; factorial functional; q-derivative (or difference) operator; q-starlike functions; univalent function; 2ND HANKEL DETERMINANT; 3RD KIND; UNIVALENT; FAMILY
- 제목
- On Coefficient Inequalities of Starlike Functions Related to the q-Analog of Cosine Functions Defined by the Fractional q-Differential Operator
- 저자
- Taj, Yusra; Malik, Sarfraz Nawaz; Cătaş, Adriana; Ro, Jong-Suk; Tchier, Fairouz; Tawfiq, Ferdous M. O.
- 발행일
- 2023-11
- 유형
- Article
- 저널명
- Fractal and Fractional
- 권
- 7
- 호
- 11
- 언어
- ENG
- 출판사
- Multidisciplinary Digital Publishing Institute (MDPI)
- 발행국가
- 스위스
- ISSN
- E 2504-3110
P 2504-3110