Second Hankel determinant for a certain subclass of analytic functions defined by close-to-convex functions and the Salagean derivative operator

Orhan, Halit; Arıkan, Hava; Başıbüyük, Ebru

doi:10.1007/s13370-026-01449-3

Makale Tam Makale Uluslararası 2026

Second Hankel determinant for a certain subclass of analytic functions defined by close-to-convex functions and the Salagean derivative operator

Halit Orhan, Hava Arıkan, Ebru Başıbüyük

AFRIKA MATEMATIKA Cilt 37 · Sayı 2 · 01.06.2026

DOI ile aç

Özet

In this investigation, we derive Fekete–Szegè inequalities and upper bounds for the second Hankel determinant for a new subclass of analytic functions in the open unit disk formed by the close-to-convex functions and the Salagean derivative operator. Additionally, there is discussion of a number of intriguing applications of the findings given here.

Anahtar kelimeler

Hankel determinant Analytic functions Fekete-Szego problem UNIVALENT-FUNCTIONS Salagean derivative operator Close-to convex functions Hankel determinant problem

Atıf için künye

Orhan, H., Arıkan, H., & Başıbüyük, E. (2026). Second Hankel determinant for a certain subclass of analytic functions defined by close-to-convex functions and the Salagean derivative operator. AFRIKA MATEMATIKA, 37(2). https://doi.org/10.1007/s13370-026-01449-3

BibTeX

@article{orhan2026-73130,
  author = {Orhan, Halit and Arıkan, Hava and Başıbüyük, Ebru},
  title = {Second Hankel determinant for a certain subclass of analytic functions defined by close-to-convex functions and the Salagean derivative operator},
  journal = {AFRIKA MATEMATIKA},
  year = {2026},
  volume = {37},
  number = {2},
  issn = {1012-9405},
  doi = {10.1007/s13370-026-01449-3},
  url = {https://akademik.atauni.edu.tr/yayinlar/73130-second-hankel-determinant-for-a-certain-subclass-of-analytic-functions-defined}
}