Results 11 to 20 of about 124,157,042 (211)
Demonstratio Mathematica, 2019 We give negative answer to the question of Bordulyak and Sheremeta for more general classes of entire functions than in the original formulation: Does index boundedness in joint variables for an entire function F imply index boundedness in the variable ...
Oleh Bogdanovych Skaskiv, Andriy Bandura
exaly +2 more sources
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 0
Oleh Bogdanovych Skaskiv, Andriy Bandura
exaly +2 more sources
Demonstratio Mathematica, 2019 In the paper we investigate slice holomorphic functions F : ℂn → ℂ having bounded L-index in a direction, i.e. these functions are entire on every slice {z0 + tb : t ∈ℂ} for an arbitrary z0 ∈ℂn and for the fixed direction b ∈ℂn \ {0}, and (∃m0 ∈ ℤ+) (∀m ∈
Oleh Bogdanovych Skaskiv, Andriy Bandura
exaly +2 more sources
Non-homogeneous directional equations: Slice solutions belonging to functions of bounded $L$-index in the unit ball [PDF]
, 2020 summary:For a given direction ${\bf b}\in \mathbb {C}^n\setminus \{{\bf 0}\}$ we study non-homogeneous directional linear higher-order equations whose all coefficients belong to a class of joint continuous functions which are holomorphic on intersection ...
Skaskiv, Oleh +5 more
core +1 more source
Free bounded archimedean l -algebras [PDF]
, 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
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.
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Slice Holomorphic Functions in the Unit Ball Having a Bounded L-Index in Direction
, 2020 Let b∈Cn{0} be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e., we study functions that are analytic in the intersection of every slice {z0+tb:t∈C} with the unit ball Bn={z∈C ...
Maria Martsinkiv +2 more
core +1 more source
Properties of entire solutions of some linear PDE's [PDF]
, 2017 In this paper, there are improved sufficient conditions of boundedness of the L-index in a direction for entire solutions of some linear partial differential equations. They are new even for the one-dimensional case and L≡1.
Filevych, P. +5 more
core +3 more sources
, 2023 The composition H(z)=f(Φ(z)) is studied, where f is an entire function of a single complex variable and Φ is an entire function of n complex variables with a vanished gradient.
Tetyana Salo +2 more
core +1 more source
, 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