THIRD HANKEL DETERMINANTS FOR STARLIKE AND CONVEX FUNCTIONS OF ORDER ALPHA

Orhan, Halit; ZAPRAWA, Pawel

doi:10.4134/bkms.b160916

Makale Tam Makale Uluslararası 2018

THIRD HANKEL DETERMINANTS FOR STARLIKE AND CONVEX FUNCTIONS OF ORDER ALPHA

Halit Orhan, Pawel ZAPRAWA

Bulletin Of The Korean Mathematical Society Cilt 55 · Sayı 1 · ss. 165–173 · 01.01.2018

DOI ile aç

Özet

In this paper we obtain the bounds of the third Hankel determinants for the classes S*(alpha) of starlike functions of order alpha and K(alpha) of convex functions of order alpha. Moreover,we derive the sharp bounds for functions in these classes which are additionally 2-fold or 3-fold symmetric.

Anahtar kelimeler

Hankel determinant starlike functions CONVEX-FUNCTIONS n-fold symmetric functions

Atıf için künye

Orhan, H., & ZAPRAWA, P. (2018). THIRD HANKEL DETERMINANTS FOR STARLIKE AND CONVEX FUNCTIONS OF ORDER ALPHA. Bulletin Of The Korean Mathematical Society, 55(1), 165–173. https://doi.org/10.4134/bkms.b160916

BibTeX

@article{orhan2018-73104,
  author = {Orhan, Halit and ZAPRAWA, Pawel},
  title = {THIRD HANKEL DETERMINANTS FOR STARLIKE AND CONVEX FUNCTIONS OF ORDER ALPHA},
  journal = {Bulletin Of The Korean Mathematical Society},
  year = {2018},
  volume = {55},
  number = {1},
  pages = {165--173},
  issn = {1015-8634},
  doi = {10.4134/bkms.b160916},
  url = {https://akademik.atauni.edu.tr/yayinlar/73104-third-hankel-determinants-for-starlike-and-convex-functions-of-order-alpha}
}