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About some Phragmen-Lindelof type theorems for biharmonic functions

Z. R. AshurovaSamarkand State University named after Sharof RashidovN. Yu. JuraevaTashkent University of Information Technologies named after Muhammad al-KhwarizmiU. Yu. JuraevaSamarkand State University named after Sharof Rashidov

Izvestiya Vysshikh Uchebnykh Zavedenii Matematikajournal2026

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Annotatsiya

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.

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Mavzular

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

Identifikatorlar

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

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