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Analogs of Hayman’s Theorem and of logarithmic criterion for analytic vector-valued functions in the unit ball having bounded L-index in joint variables [PDF]
Abstract In this paper, we present necessary and sufficient conditions of boundedness of L-index in joint variables for vector-valued functions analytic in the unit ball
Vita Baksa +2 more
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Functions analytic in a unit ball of bounded L-index in joint variables
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Andriy Bandura +2 more
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Bukovinian Mathematical Journal
We obtained growth estimates for bivariate functions which are analytic in the unit bidisc and have bounded $\mathbf{L}$-index in joint variables. The positive continuous function $\mathbf{L}(z_1,z_2)=(l_1(z_2,z_2),l_2(z_1,z_2))$ satisfies additional behavior condition: for every point $z=(z_1,z_2)$ belonging the unit bidisc $\mathbb{D}^2$ the ...
Andriy Bandura +4 more
openaire +1 more source
We obtained growth estimates for bivariate functions which are analytic in the unit bidisc and have bounded $\mathbf{L}$-index in joint variables. The positive continuous function $\mathbf{L}(z_1,z_2)=(l_1(z_2,z_2),l_2(z_1,z_2))$ satisfies additional behavior condition: for every point $z=(z_1,z_2)$ belonging the unit bidisc $\mathbb{D}^2$ the ...
Andriy Bandura +4 more
openaire +1 more source
Analytic in an unit ball functions of bounded L-index in joint variables
2020A concept of boundedness of the L-index in joint variables (see in Bandura A. I., Bordulyak M. T., Skaskiv O. B. Sufficient conditions of boundedness of L-index in joint variables, Mat. Stud. 45 (2016), 12???26) is generalized for analytic in a ball function.
Bandura, A.I., Skaskiv, O.B.
openaire +1 more source
Adaptive neural backstepping control for flexible-joint robot manipulator with bounded torque inputs
Neurocomputing, 2021Huashan Liu +2 more
exaly
Slice Holomorphic Functions in the Unit Ball Having a Bounded L-Index in Direction
Axioms, 2021Andriy Bandura +2 more
exaly
Bounded decoupling control for flexible‐joint robot manipulators with state estimation
IET Control Theory and Applications, 2020Yuxin Cheng, Huashan Liu
exaly

