ABOUT SOME THEOREM OF THE PHRAGMEN-LINDELOF TYPE
DOI:
https://doi.org/10.52754/16948645_2024_1(4)_14Keywords:
Phragmen–Lindelof type theorem, biharmonic function, Carlеman’s function, integral representationAbstract
Theorems of the Phragmen–Lindelof type for biharmonic functions, which is obtained using Carleman type formulas, is considered. The integral representation for biharmonic functions is proved. With the help of this integral representation, some properties (growth estimation, Carleman formula) of biharmonic functions of a certain class in are obtained.
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