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Analytic in the unit polydisc functions of bounded L-index in direction
The concept of bounded $L$-index in a direction $\mathbf{b}=(b_1,\ldots,b_n)\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ is generalized for a class of analytic functions in the unit polydisc, where $L$ is some continuous function such that for every $z=(z_1 ...
A. Bandura, T. Salo
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Bounded index, entire solutions of ordinary differential equations and summability methods
A brief survey of recent results on functions of bounded index and bounded index summability methods is given. Theorems on entire solutions of ordinary differential equations with polynomial coefficients are included.
G. H. Fricke, Ranjan Roy, S. M. Shah
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Entire functions of bounded index [PDF]
Since this series is absolutely convergent everywhere in the plane, the terms I an| must approach 0. Consequently, there exists for each a, an index no = n(a) for which I an I is a maximal coefficient. B. Lepson [2] raised the problem of characterizing entire functions for which n(a) is bounded. The latter are called functions of bounded index. In what
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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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On admissibility for parabolic equations in R^n [PDF]
We consider the parabolic equation $$u_t-\Delta u=F(x,u),\quad (t,x)\in\R_+\times\R^n\tag{P}$$ and the corresponding semiflow $\pi$ in the phase space $H^1$.
Prizzi, Martino
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Semiparametric lower bounds for tail index estimation [PDF]
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Beirlant, J. +2 more
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Braid index bounds ropelength from below [PDF]
For an unoriented link [Formula: see text], let [Formula: see text] be the ropelength of [Formula: see text]. It is known that in general [Formula: see text] is at least of the order [Formula: see text], and at most of the order [Formula: see text] where [Formula: see text] is the minimum crossing number of [Formula: see text].
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Non-homogeneous directional equations: Slice solutions belonging to functions of bounded $L$-index in the unit ball [PDF]
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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Number Line Tasks and Their Relation to Arithmetics in Second to Fourth Graders
Considering the importance of mathematical knowledge for STEM careers, we aimed to better understand the cognitive mechanisms underlying the commonly observed relation between number line estimations (NLEs) and arithmetics.
Carrie Georges, Christine Schiltz
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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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