SECOND HANKEL DETERMINANT FOR A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY HYPERGEOMETRIC FUNCTIONS

Orhan, Halit; ÇAĞLAR, MURAT; ARIKAN, Hava

doi:10.1007/s13370-023-01063-7

Makale Tam Makale Uluslararası 2023

SECOND HANKEL DETERMINANT FOR A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY HYPERGEOMETRIC FUNCTIONS

Halit Orhan, MURAT ÇAĞLAR, Hava ARIKAN

Afrika Matematika Cilt 34 · Sayı 18 · 01.03.2023

DOI ile aç

Özet

In the present paper, we obtain the upper bounds for the second Hankel determinant and Fekete-Szego inequalities for a new subclass of analytic functions in the open unit disk defined by the hypergeometric functions. Moreover, several interesting applications of the results presented here are also discussed.

Anahtar kelimeler

Hankel determinant Analytic functions Fekete-Szego problem UNIVALENT-FUNCTIONS Hypergeometric functions

Atıf için künye

Orhan, H., ÇAĞLAR, M., & ARIKAN, H. (2023). SECOND HANKEL DETERMINANT FOR A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY HYPERGEOMETRIC FUNCTIONS. Afrika Matematika, 34(18). https://doi.org/10.1007/s13370-023-01063-7

BibTeX

@article{orhan2023-73098,
  author = {Orhan, Halit and ÇAĞLAR, MURAT and ARIKAN, Hava},
  title = {SECOND HANKEL DETERMINANT FOR A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY HYPERGEOMETRIC FUNCTIONS},
  journal = {Afrika Matematika},
  year = {2023},
  volume = {34},
  number = {18},
  doi = {10.1007/s13370-023-01063-7},
  url = {https://akademik.atauni.edu.tr/yayinlar/73098-second-hankel-determinant-for-a-certain-subclass-of-analytic-functions-defined}
}