Results 11 to 20 of about 133,076,709 (133)

Maximum modulus in a bidisc of analytic functions of bounded $ L$-index and an analogue of Hayman's theorem [PDF]

open access: yesMathematica Bohemica, 2018
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
doaj   +1 more source

Entire multivariate vector-valued functions of bounded $\mathbf{L}$-index: analog of Fricke’s theorem

open access: yesМатематичні Студії, 2020
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
doaj   +1 more source

Exhaustion by balls and entire functions of bounded $\mathbf{L}$-index in joint variables

open access: yesUfimskii Matematicheskii Zhurnal, 2019
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
openaire   +2 more sources

Growth Estimates for Analytic Vector-Valued Functions in the Unit Ball Having Bounded $\mathbf{L}$-index in Joint Variables

open access: yesConstructive Mathematical Analysis, 2020
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
openaire   +4 more sources

Maximum modulus in a bidisc of analytic functions of bounded ${\bf L}$-index and an analogue of Hayman's theorem [PDF]

open access: yes, 2015
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]

open access: yes, 2017
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.
core   +2 more sources

Uncertainty Propagation for the Structures with Fuzzy Variables and Uncertain-but-Bounded Variables

open access: yes, 2023
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
core   +1 more source

Free bounded archimedean l -algebras [PDF]

open access: yes, 2021
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
core   +1 more source

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