Subclasses of meromorphically multivalent functions defined by a differential operator

Orhan, Halit; Raducanu, Dorina; DENİZ, Erhan

doi:10.1016/j.camwa.2010.12.045

Makale Tam Makale Uluslararası 2011

Subclasses of meromorphically multivalent functions defined by a differential operator

Halit Orhan, Dorina Raducanu, Erhan DENİZ

Computers and Mathematics with Applications Cilt 61 · Sayı 4 · ss. 966–979 · 01.02.2011

DOI ile aç

Özet

In this paper we introduce and study two new subclasses Sigma(lambda mu mp)(alpha, beta) and Sigma(+)(lambda mu mp)(alpha, beta) of meromorphically multivalent functions which are defined by means of a new differential operator. Some results connected to subordination properties, coefficient estimates, convolution properties, integral representation and distortion theorems are obtained. We also extend the familiar concept of (n, delta)-neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions. (C) 2010 Elsevier Ltd. All rights reserved.

Anahtar kelimeler

Analytic functions Meromorphic functions Multivalent functions Differential operator Subordination Neighborhoods GENERALIZED HYPERGEOMETRIC FUNCTION NEGATIVE COEFFICIENTS UNIVALENT-FUNCTIONS FAMILIES

Atıf için künye

Orhan, H., Raducanu, D., & DENİZ, E. (2011). Subclasses of meromorphically multivalent functions defined by a differential operator. Computers and Mathematics with Applications, 61(4), 966–979. https://doi.org/10.1016/j.camwa.2010.12.045

BibTeX

@article{orhan2011-73041,
  author = {Orhan, Halit and Raducanu, Dorina and DENİZ, Erhan},
  title = {Subclasses of meromorphically multivalent functions defined by a differential operator},
  journal = {Computers and Mathematics with Applications},
  year = {2011},
  volume = {61},
  number = {4},
  pages = {966--979},
  issn = {0898-1221},
  doi = {10.1016/j.camwa.2010.12.045},
  url = {https://akademik.atauni.edu.tr/yayinlar/73041-subclasses-of-meromorphically-multivalent-functions-defined-by-a-differential}
}