Previous Issue
Volume 14, May
 
 

Axioms, Volume 14, Issue 6 (June 2025) – 1 article

  • Issues are regarded as officially published after their release is announced to the table of contents alert mailing list.
  • You may sign up for e-mail alerts to receive table of contents of newly released issues.
  • PDF is the official format for papers published in both, html and pdf forms. To view the papers in pdf format, click on the "PDF Full-text" link, and use the free Adobe Reader to open them.
Order results
Result details
Section
Select all
Export citation of selected articles as:
11 pages, 265 KiB  
Article
On Certain Bounds of Harmonic Univalent Functions
by Fethiye Müge Sakar, Omendra Mishra, Georgia Irina Oros and Basem Aref Frasin
Axioms 2025, 14(6), 393; https://doi.org/10.3390/axioms14060393 (registering DOI) - 22 May 2025
Abstract
Harmonic functions are renowned for their application in the analysis of minimal surfaces. These functions are also very important in applied mathematics. Any harmonic function in the open unit disk U=zC:z<1 can be written as [...] Read more.
Harmonic functions are renowned for their application in the analysis of minimal surfaces. These functions are also very important in applied mathematics. Any harmonic function in the open unit disk U=zC:z<1 can be written as a sum f=h+g¯, where h and g are analytic functions in U and are called the analytic part and the co-analytic part of f, respectively. In this paper, the harmonic shear f=h+g¯SH and its rotation fμ by μμC,μ=1 are considered. Bounds are established for this rotation fμ, specific inequalities that define the Jacobian of fμ are obtained, and the integral representation is determined. Full article
(This article belongs to the Special Issue Recent Advances in Complex Analysis and Applications, 2nd Edition)
Previous Issue
Back to TopTop