Results 1 to 10 of about 42,373 (259)
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 ∈
Bandura Andriy +2 more
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Multivalence of bivariate functions of bounded index
Le Matematiche, 2015 This paper examines the relationship between the concept of bounded index and the radius of equivalence, respectively p-valence, of entire bivariate functions and their partial derivatives at arbitrary points in C^2.
Fatih Nuray, Richard F. Patterson
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Bounds on the Arithmetic-Geometric Index [PDF]
Symmetry, 2021 The concept of arithmetic-geometric index was recently introduced in chemical graph theory, but it has proven to be useful from both a theoretical and practical point of view. The aim of this paper is to obtain new bounds of the arithmetic-geometric index and characterize the extremal graphs with respect to them.
José M. Rodríguez 0001 +3 more
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Further improvement on index bounds [PDF]
Designs, Codes and Cryptography, 2022 9 pages, to appear in ...
Yansheng Wu +2 more
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Entire Bivariate Functions of Exponential Type II
Математичні Студії, 2023 Let $f(z_{1},z_{2})$ be a bivariate entire function and $C$ be a positive constant. If $f(z_{1},z_{2})$ satisfies the following inequality for non-negative integer $M$, for all non-negative integers $k,$ $l$ such that $k+l\in\{0, 1, 2, \ldots, M\}$, for ...
A. Bandura, F. Nuray
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Vector-Valued Entire Functions of Several Variables: Some Local Properties
Axioms, 2022 The present paper is devoted to the properties of entire vector-valued functions of bounded L-index in join variables, where L:Cn→R+n is a positive continuous function.
Andriy Ivanovych Bandura +2 more
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Математичні Студії, 2023 There is introduced a concept of index for the Fueter regular function of the quaternionic variables. There are considered three approaches (Fueter, Sudbery and Mariconda) constructing the Fueter regular function from a holomorphic function of complex ...
V. P. Baksa, A. I. Bandura
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A Lower Bound for Jumbled Indexing [PDF]
, 2020 In this paper we study lower bounds for a variant of jumbled-indexing problem: given an input string S on an alphabet Σ = {σ1, . . ., σλ}, store it in a data structure such that given frequencies f1, · · ·, fλ, one can find all the substrings S0 of S where the frequency of the character σi is fi, for 1 ≤ i ≤ λ.
Afshani, Peyman +3 more
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Note on composition of entire functions and bounded $L$-index in direction
Математичні Студії, 2021 We study the following question: ``Let $f\colon \mathbb{C}\to \mathbb{C}$ be an entire function of bounded $l$-index, $\Phi\colon \mathbb{C}^n\to \mathbb{C}$ an be entire function, $n\geq2,$ $l\colon \mathbb{C}\to \mathbb{R}_+$ be a continuous function ...
A. I. Bandura, O. B. Skaskiv, T. M. Salo
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Slice Holomorphic Functions in the Unit Ball Having a Bounded L-Index in Direction
Axioms, 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:|z|:=|z|12 ...
Andriy Bandura +2 more
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