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Makale Tam Makale Uluslararası 2023

SECOND HANKEL DETERMINANT FOR CERTAIN SUBCLASSES OF BI-STARLIKE FUNCTIONS DEFINED BY DIFFERENTIAL OPERATORS

Halit Orhan, Hava Arıkan, Murat Çağlar

Sahand Communications in Mathematical Analysis Cilt 20 · Sayı 2 · ss. 65–83 · 01.03.2023
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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.

Anahtar kelimeler

Analytic functions UNIVALENT-FUNCTIONS subordination between analytic functions Bi-univalent func-tions Bi-starlike functions Hankel deter-minant

Atıf için künye

Orhan, H., Arıkan, H., & Çağlar, M. (2023). SECOND HANKEL DETERMINANT FOR CERTAIN SUBCLASSES OF BI-STARLIKE FUNCTIONS DEFINED BY DIFFERENTIAL OPERATORS. Sahand Communications in Mathematical Analysis, 20(2), 65–83. https://doi.org/10.22130/scma.2022.553738.1110

BibTeX 
@article{orhan2023-73093,
  author = {Orhan, Halit and Arıkan, Hava and Çağlar, Murat},
  title = {SECOND HANKEL DETERMINANT FOR CERTAIN SUBCLASSES OF BI-STARLIKE FUNCTIONS DEFINED BY DIFFERENTIAL OPERATORS},
  journal = {Sahand Communications in Mathematical Analysis},
  year = {2023},
  volume = {20},
  number = {2},
  pages = {65--83},
  issn = {2322-5807},
  doi = {10.22130/scma.2022.553738.1110},
  url = {https://akademik.atauni.edu.tr/yayinlar/73093-second-hankel-determinant-for-certain-subclasses-of-bi-starlike-functions}
}