Results 11 to 20 of about 2,990 (192)
Exhaustion by balls and entire functions of bounded $\mathbf{L}$-index in joint variables
Ufimskii 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
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Constructive 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
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Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction
Axioms, 2019 In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
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Analytic functions in a bidisc of bounded $\mathbf{L}$-index in joint variables
, 2016 23 ...
Bandura, A. I. +2 more
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Composition of entire function and analytic functions in the unit ball with a vanished gradient
Математичні СтудіїThe composition $H(z)=f(\Phi(z))$ is studied, where $f$ is an entire function of a single complex variable and $\Phi$ is an analytic function in the $n$-dimensional unit ball with a vanished gradient. We found conditions by the function $\Phi$ providing
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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Uniform estimates for local properties of analytic functions in a complete Reinhardt domain
Математичні СтудіїUsing recent estimates of maximum modulus for partial derivatives of the analytic functions with bounded $\mathbf{L}$-index in joint variables we describe maximum modulus of these functions at the polydisc skeleton with given radii by the maximum modulus
A. I. Bandura, T.M. Salo
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Some properties of analytic in a ball functions of bounded $\mathbf{L}$-index in joint variables
, 2017 55 ...
Bandura, Andriy, Skaskiv, Oleh
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The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
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FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
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Hayman’s theorem for analytic functions in a complete Reinhardt domain
Математичні СтудіїFor functions analytic in a complete multiple circular domain $\mathbb{G}\subset\mathbb{C}^n$ there are established a counterpart of Haymans' Theorem.
T. M. Salo
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