Article

About some Phragmen-Lindelof type theorems for biharmonic functions

Z. R. AshurovaSamarkand State University named after Sharof RashidovN. Yu. JuraevaInternational Islamic Academy of UzbekistanU. Yu. JuraevaSamarkand State University named after Sharof Rashidov

Izvestiya Vysshikh Uchebnykh Zavedenii Matematikajournal2026

ABI

Abstract

The work is devoted to a Phragmen-Lindelof theorem for biharmonic functions, which is obtained using Carleman-type formulas. An integral representation for biharmonic functions is established. By means of this integral representation, several properties are obtained, including a growth estimate and a Phragmen-Lindelof -type theorem for a certain class of biharmonic functions.

Topics

Holomorphic and Operator Theory Algebraic and Geometric Analysis Meromorphic and Entire Functions

Identifiers

DOI: 10.26907/0021-3446-2026-5-31-50

Citations and references

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