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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
ABI

Аннотация

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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