The Fekete-Szego problem for subclasses of analytic functions defined by a differential operator related to conic domains

Orhan, Halit; Deniza, Erhan; Raducanu, Dorina

doi:10.1016/j.camwa.2009.07.049

Makale Tam Makale Uluslararası 2010

The Fekete-Szego problem for subclasses of analytic functions defined by a differential operator related to conic domains

Halit Orhan, Erhan Deniza, Dorina Raducanu

Computers and Mathematics with Applications Cilt 59 · Sayı 1 · ss. 283–295 · 01.01.2010

DOI ile aç

Özet

By using a linear multiplier fractional differential operator a new subclass of analytic functions generalized beta-uniformly convex functions, denoted by beta-SP(lambda,mu)(n,alpha)(gamma), is introduced. For this class the Fekete-Szego problem is completely solved. Various known or new special cases of our results are also pointed out. (C) 2009 Elsevier Ltd. All rights reserved.

Anahtar kelimeler

Fekete-Szego problem Hadamard product beta-uniformly convex functions Conic domain Linear multiplier fractional differential operator

Atıf için künye

Orhan, H., Deniza, E., & Raducanu, D. (2010). The Fekete-Szego problem for subclasses of analytic functions defined by a differential operator related to conic domains. Computers and Mathematics with Applications, 59(1), 283–295. https://doi.org/10.1016/j.camwa.2009.07.049

BibTeX

@article{orhan2010-73109,
  author = {Orhan, Halit and Deniza, Erhan and Raducanu, Dorina},
  title = {The Fekete-Szego problem for subclasses of analytic functions defined by a differential operator related to conic domains},
  journal = {Computers and Mathematics with Applications},
  year = {2010},
  volume = {59},
  number = {1},
  pages = {283--295},
  issn = {0898-1221},
  doi = {10.1016/j.camwa.2009.07.049},
  url = {https://akademik.atauni.edu.tr/yayinlar/73109-the-fekete-szego-problem-for-subclasses-of-analytic-functions-defined-by-a}
}