Results 31 to 40 of about 585,597 (266)

Analytic in the unit polydisc functions of bounded L-index in direction

open access: yesМатематичні Студії, 2023
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
doaj   +1 more source

Bounded index, entire solutions of ordinary differential equations and summability methods

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1981
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
doaj   +1 more source

Entire functions of bounded index [PDF]

open access: yesProceedings of the American Mathematical Society, 1967
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
openaire   +2 more sources

Slice holomorphic solutions of some directional differential equations with bounded L-index in the same direction

open access: yesDemonstratio 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
doaj   +1 more source

On admissibility for parabolic equations in R^n [PDF]

open access: yes, 2003
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
core   +2 more sources

Semiparametric lower bounds for tail index estimation [PDF]

open access: yesJournal of Statistical Planning and Inference, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beirlant, J.   +2 more
openaire   +7 more sources

Braid index bounds ropelength from below [PDF]

open access: yesJournal of Knot Theory and Its Ramifications, 2020
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].
openaire   +2 more sources

Non-homogeneous directional equations: Slice solutions belonging to functions of bounded $L$-index in the unit ball [PDF]

open access: yesMathematica Bohemica
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
doaj   +1 more source

Number Line Tasks and Their Relation to Arithmetics in Second to Fourth Graders

open access: yesJournal of Numerical Cognition, 2021
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
doaj   +1 more source

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

open access: yesDemonstratio 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
doaj   +1 more source

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