Results 11 to 20 of about 133,076,709 (133)
Asymptotic estimates of entire functions of bounded $\mathbf{L}$-index in joint variables [PDF]
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Bandura, Andriy, Skaskiv, Oleh
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Maximum modulus in a bidisc of analytic functions of bounded $ L$-index and an analogue of Hayman's theorem [PDF]
We generalize some criteria of boundedness of $\mathbf{L}$-index in joint variables for in a bidisc analytic functions. Our propositions give an estimate the maximum modulus on a skeleton in a bidisc and an estimate of $(p+1)$th partial derivative by ...
Andriy Bandura +2 more
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We consider a class of vector-valued entire functions $F\colon \mathbb{C}^{n}\rightarrow \mathbb{C}^{p}$. For this class of functions there is introduced a concept of boundedness of $\mathbf{L}$-index in joint variables. Let $|\cdot|_p$ be a norm in $
A. I. Bandura, V. P. Baksa
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Exhaustion by balls and entire functions of bounded $\mathbf{L}$-index in joint variables
Summary: For entire functions of several complex variables, we prove criteria of boundedness of \(\mathbf{L} \)-index in joint variables. Here \(\mathbf{L}: \mathbb{C}^n\to\mathbb{R}^n_+\) is a continuous vector function. The criteria describe local behavior of partial derivatives of entire function on sphere in an \(n\)-dimensional complex space.
Bandura, Andriy Ivanovych +1 more
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Our results concern growth estimates for vector-valued functions of $\mathbb{L}$-index in joint variables which are analytic in the unit ball. There are deduced analogs of known growth estimates obtained early for functions analytic in the unit ball.Our estimates contain logarithm of $\sup$-norm instead of logarithm modulus of the function.They ...
Vita Baksa +2 more
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Maximum modulus in a bidisc of analytic functions of bounded ${\bf L}$-index and an analogue of Hayman's theorem [PDF]
summary:We generalize some criteria of boundedness of $\mathbf {L}$-index in joint variables for in a bidisc analytic functions. Our propositions give an estimate the maximum modulus on a skeleton in a bidisc and an estimate of $(p+1)$th partial ...
Petrechko, Nataliia +5 more
core +1 more source
Analytic in an unit ball functions of bounded L-index in joint variables [PDF]
A 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.
Bandura, A.I., Skaskiv, O.B.
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Uncertainty Propagation for the Structures with Fuzzy Variables and Uncertain-but-Bounded Variables
Various uncertain factors exist in the practical systems. Random variables, uncertain-but-bounded variables and fuzzy variables are commonly employed to measure these uncertain factors.
Zhangchun Tang +3 more
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Free bounded archimedean l -algebras [PDF]
We show that free objects on sets do not exist in the category bal of bounded archimedean l-algebras. On the other hand, we introduce the category of weighted sets and prove that free objects on weighted sets do exist in bal.
Bezhanishvili G. +2 more
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Analytic functions in a bidisc of bounded $\mathbf{L}$-index in joint variables
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Bandura, A. I. +2 more
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