On the Phragmen-Lindelöf type theorem for biharmonic functions

Aknazar B. Khasanov^ab, Umidakhon Yu. Jurayeva<sup>a

a</sup> Samarkand State University, Samarkand, Uzbekistan
^b V. I. Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan

Abstract: In this paper, we are interested in the study of the behavior of biharmonic functions defined in unbounded domain lies inside a layer. The work is devoted to the Phragmen-Lindelöf type theorems for biharmonic functions, which is obtained using Carleman type formulas.

Keywords: Phragmen–Lindelöf type theorems, biharmonic functions, Carleman function,integral representation.

UDC: 517.95

Received: 10.05.2025
Received in revised form: 30.05.2025
Accepted: 04.09.2025

Language: English