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Coefficient Inequalities of q-Bi-Univalent Mappings Associated with q-Hyperbolic Tangent Function
- Shaba, Timilehin Gideon;
- Araci, Serkan;
- Ro, Jong-Suk;
- Tchier, Fairouz;
- Adebesin, Babatunde Olufemi;
- 외 1명
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6초록
The present study introduces a new family of analytic functions by utilizing the q-derivative operator and the q-version of the hyperbolic tangent function. We find certain inequalities, including the coefficient bounds, second Hankel determinants, and Fekete-Szego inequalities, for this novel family of bi-univalent functions. It is worthy of note that almost all the results are sharp, and their corresponding extremal functions are presented. In addition, some special cases are demonstrated to show the validity of our findings.
키워드
bi-univalent functions; q-fractional derivative; q-analogue of the hyperbolic tangent function; Hankel determinant; bounded turning functions; Fekete-Szego inequality; SUBCLASS; OPERATOR
- 제목
- Coefficient Inequalities of q-Bi-Univalent Mappings Associated with q-Hyperbolic Tangent Function
- 저자
- Shaba, Timilehin Gideon; Araci, Serkan; Ro, Jong-Suk; Tchier, Fairouz; Adebesin, Babatunde Olufemi; Zainab, Saira
- 발행일
- 2023-09
- 유형
- Article
- 저널명
- FRACTAL AND FRACTIONAL
- 권
- 7
- 호
- 9
- 언어
- ENG
- 출판사
- MDPI
- 발행국가
- 스위스
- ISSN
- E 2504-3110
P 2504-3110