Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes [PDF]
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 ...
Bandura Andriy, Skaskiv Oleh
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The product and existence theorems for analytic functions in a polydisc of bounded $L$-index in direction [PDF]
Researches in MathematicsFor functions analytic in the unit polydisc with bounded $L$-index in a direction there are presented three various results. The product theorem specifies that the product of analytic functions of bounded $L$-index in direction belongs to the same class.
A.I. Bandura +4 more
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Non-homogeneous directional equations: Slice solutions belonging to functions of bounded $L$-index in the unit ball [PDF]
Mathematica Bohemica, 2023 For a given direction $ b\in\mathbb{C}^n\setminus\{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 of all directional ...
Andriy Bandura +2 more
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A modified criterion of boundedness of L-index in direction [PDF]
Математичні Студії, 2013 A new criterion of boundedness of L-index in direction is obtained.
A. I. Bandura
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Growth estimates for analytic functions in the unit polydisc with bounded $L$-index in direction
Математичні СтудіїThis paper investigates the growth properties of analytic functions defined in the unit polydisc of $\mathbb{C}^n$ having bounded $L$-index in a direction.
A. I. Bandura, Ya. V. Batsala
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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
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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
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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
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, 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
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Karpatsʹkì Matematičnì Publìkacìï, 2019 We partially reinforce some criteria of $L$-index boundedness in direction for functions analytic in the unit ball. These results describe local behavior of directional derivatives on the circle, estimates of maximum modulus, minimum modulus of analytic ...
A.I. Bandura
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