Second Hankel determinant for bi-starlike and bi-convex functions of order beta

Deniz, Erhan; Caglar, Murat; Orhan, Halit

doi:10.1016/j.amc.2015.09.010

Makale Tam Makale Uluslararası 2015

Second Hankel determinant for bi-starlike and bi-convex functions of order beta

Erhan Deniz, Murat Caglar, Halit Orhan

APPLIED MATHEMATICS AND COMPUTATION Cilt 271 · ss. 301–307 · 15.11.2015

DOI ile aç

Özet

In the present investigation the authors obtain upper bounds for the second Hankel determinant H-2(2) of the classes bi-starlike and bi-convex functions of order beta, represented by S-sigma*(beta) and K-sigma(beta), respectively. In particular, the estimates for the second Hankel determinant H-2(2) of bi-starlike and bi-convex functions which are important subclasses of bi-univalent functions are pointed out. (C) 2015 Elsevier Inc. All rights reserved.

Anahtar kelimeler

bi-univalent functions Bi-starlike functions of order beta Bi-convex functions of order beta Seamd Hankel determinant

Atıf için künye

Deniz, E., Caglar, M., & Orhan, H. (2015). Second Hankel determinant for bi-starlike and bi-convex functions of order beta. APPLIED MATHEMATICS AND COMPUTATION, 271, 301–307. https://doi.org/10.1016/j.amc.2015.09.010

BibTeX

@article{deniz2015-73059,
  author = {Deniz, Erhan and Caglar, Murat and Orhan, Halit},
  title = {Second Hankel determinant for bi-starlike and bi-convex functions of order beta},
  journal = {APPLIED MATHEMATICS AND COMPUTATION},
  year = {2015},
  volume = {271},
  pages = {301--307},
  issn = {0096-3003},
  doi = {10.1016/j.amc.2015.09.010},
  url = {https://akademik.atauni.edu.tr/yayinlar/73059-second-hankel-determinant-for-bi-starlike-and-bi-convex-functions-of-order-beta}
}