Results 21 to 30 of about 133,076,709 (133)

Composition of entire function and analytic functions in the unit ball with a vanished gradient

Математичні Студії
The 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
doaj   +1 more source

Uniform estimates for local properties of analytic functions in a complete Reinhardt domain

Математичні Студії
Using 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
doaj   +1 more source

Context-bounded model checking with ESBMC 1.17 [PDF]

, 2012
ESBMC is a context-bounded symbolic model checker that allows the verification of single- and multi-threaded C code with shared variables and locks.
Denis Nicole, Nicole, Denis, Cordeiro, Lucas, Fischer, Bernd, Lucas Cordeiro, Jeremy Morse, Morse, Jeremy, Bernd Fischer   +7 more
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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
openaire   +2 more sources

Entire Functions of Bounded L-Index: Its Zeros and Behavior of Partial Logarithmic Derivatives

, 2017
In this paper, we obtain new sufficient conditions of boundedness of L-index in joint variables for entire function in Cn functions. They give an estimate of maximum modulus of an entire function by its minimum modulus on a skeleton in a polydisc and ...
Oleh Skaskiv, Andriy Bandura
core   +1 more source

Hayman’s theorem for analytic functions in a complete Reinhardt domain

Математичні Студії
For 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
doaj   +1 more source

Sufficient conditions of boundedness of L-index and analog of Hayman\u27s Theorem for analytic functions in a ball

, 2018
We generalize some criteria of boundedness of L-index in joint variables for analytic in an unit ball functions. Our propositions give an estimate maximum modulus of the analytic function on a skeleton in polydisc with the larger radii by maximum modulus
BANDURA, Andriy, SKASKIV, Oleh
core   +1 more source

Some criteria of boundedness of the L-index in direction for slice holomorphic functions of several complex variables [PDF]

, 2019
We investigate the slice holomorphic functions of several complex variables that have a bounded L-index in some direction and are entire on every slice {z⁰ + tb : t ∈ C} for every z⁰ ∈ Cⁿ and for a given direction b ∈ Cⁿ \ {0}.
Bandura, A., Skaskiv, O.
core   +2 more sources

Dominating polynomial in power series expansion for analytic functions in a complete Reinhardt domain

Математичні Студії
We generalized some criteria of boundedness of $\mathbf{L}$-index in joint variables for analytic functions in a complete multiple circular domain, where $\mathbf{L}(z)=(l_1(z_1,z_2,\ldots,z_n),$ $l_{2}(z_1,z_2,\ldots,z_n),$ $\ldots,$ $l_{n}(z_1,z_2 ...
A. I. Bandura, T.M. Salo
doaj   +1 more source

Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded L-index in joint variables

, 2018
We obtain the sufficient conditions of boundedness of L-index in joint variables for analytic functions in the unit ball, where L : Cⁿ → Rⁿ₊ is a continuous positive vector-function. They give an estimate of the maximum modulus of an analytic function by
Bandura, A.I., Skaskiv, O.B.
core