About One Phragmén–Lindelöf Type Theorem for Biharmonic Functions
Z. R. AshurovaSamarkand State University named after Sharof Rashidov, 140100, Samarkand, Republic of UzbekistanN. Yu. JuraevaInternational Islamic Academy of Uzbekistan, 100011, Tashkent, Republic of UzbekistanU. Yu. JuraevaSamarkand State University named after Sharof Rashidov, 140100, Samarkand, Republic of Uzbekistan
2026en
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ABI
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Abstract The work is devoted to a Phragmén–Lindelöf type theorem for biharmonic functions, which is obtained using Carleman-type formulas. An integral representation for biharmonic functions is proved. This integral representation is used to obtain some properties such as a growth estimate and a Phragmén–Lindelöf type theorem for a certain class of biharmonic functions.
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