SECOND HANKEL DETERMINANT FOR CERTAIN SUBCLASSES OF BI-STARLIKE FUNCTIONS DEFINED BY DIFFERENTIAL OPERATORS
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, cilt.20, sa.2, ss.65-83, 2023 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 20 Sayı: 2
- Basım Tarihi: 2023
- Doi Numarası: 10.22130/scma.2022.553738.1110
- Dergi Adı: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
- Sayfa Sayıları: ss.65-83
- Anahtar Kelimeler: Analytic functions, Univalent functions, Bi-univalent func-tions, Bi-starlike functions, Subordination between analytic functions, Hankel deter-minant
- Atatürk Üniversitesi Adresli: Evet
Özet
In this paper, we obtain upper bounds of the initial Taylor-Maclaurin coefficients |a2|, |a3| and |a4| and of the Fekete-Szego functional vertical bar a3 - eta a(2) (2)vertical bar for certain subclasses of analytic and 2 bi-starlike functions S sigma*(beta,theta, n, m) in the open unit disk. We have also obtained an upper bound of the functional vertical bar a(2)a(4) - a(2) vertical bar for the 3 functions in the class S sigma*(beta,theta, n, m). Moreover, several interesting applications of the results presented here are also discussed.