The norm of pre-Schwarzian derivatives of certain analytic functions with bounded positive real part

Authors

  • Hormoz Rahmatan
  • Shahram Najafzadeh Payame Noor University
  • Ali Ebadian

Abstract

For real numbers 0 < 1 and > 1 we dene the univalent functionin the unit disk which maps on to the strip domain ! with < Re ! < .In this paper we give the best estimates for the norm of the pre-Schwarzianderivative Tf (z) =f00(z)f0 (z)where kTf k = supjzj<1

Downloads

Published

2016-06-17

Issue

Vol. 61 No. 2 (2016)

Section

Articles

License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Transfer of copyright agreement: When the article is accepted for publication, the authors and the representative of the coauthors, hereby agree to transfer to Studia Universitatis Babeș-Bolyai Mathematica all rights, including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the authors specifically retain: the authors can use the material however they want as long as it fits the NC ND terms of the license. The authors have all rights for reuse according to the license.