Asymptotic properties of entire functions with given laws of distribution of zeros
type: Item
instance of: scholarly article
title: Asymptotic properties of entire functions with given laws of distribution of zeros
zbMATH Open document ID: 1475.30069
author: V. B. Sherstyukov
published in: Journal of Mathematical Sciences (New York)
publication date: 2021-08-20T00:00:00Z
Mathematics Subject Classification ID: 30D15
Mathematics Subject Classification ID: 30D20
Mathematics Subject Classification ID: 30C15
zbMATH DE Number: 7383925
zbMATH Keywords: entire functions
zbMATH Keywords: zeros
zbMATH Keywords: growth
MaRDI profile type: Publication
full work available at URL: s10958-021-05480-6
OpenAlex ID: W3191327682
Wikidata QID: Q114852335
cites work: Q3348248
cites work: Nontrivial expansions of zero absolutely representing systems
cites work: Q5841618
cites work: Q5335509
cites work: Q5589503
cites work: Polynomial density in \(L_p(R,d\mu)\) and representation of all measures which generate a determinate Hamburger moment problem
cites work: Polynomial Form of de Branges Conditions for the Denseness of Algebraic Polynomials in the Space C w 0
cites work: Q5191737
cites work: Nevanlinna Matrices of Entire Functions
cites work: Krein's entire functions and the Bernstein approximation problem
cites work: The least type of an entire function of order $ \rho\in(0,1)$ having positive zeros with prescribed averaged densities
cites work: Sharp estimates of types of entire functions with zeros on rays
cites work: On the least possible type of entire functions of order $ \rho\in(0,1)$ with positive zeros
cites work: The greatest possible lower type of entire functions of order \(\rho \in (0; 1)\) with zeros of fixed \(\rho \)-densities
cites work: The Bernstein Problem
cites work: Q5539946
cites work: Q3314130
cites work: Q3344438
cites work: An extremal problem for a class of entire functions
cites work: Solution of the Polya problem
cites work: Q5569291
cites work: Q5732764
cites work: Q5515588
cites work: Q5515589
cites work: Q3361076
cites work: Hermitian Transformations of Deficiency-Index (1,1), Jacobi Matrices and Undetermined Moment Problems
cites work: ON THE TYPE OF ENTIRE AND MEROMORPHIC FUNCTIONS
cites work: Zero sequences of holomorphic functions, representation of meromorphic functions. II. Entire functions
cites work: Q5558615
cites work: Q5577344
cites work: Q5603373
cites work: Q3994552
cites work: Representing systems
cites work: Q3931711
cites work: Q3712917
cites work: Q3363548
cites work: Q5555131
cites work: Q5844088
cites work: Q5790967
cites work: Q5815048
cites work: A criterion for analytic continuation of functions from invariant subspaces in convex domains of the complex plane
cites work: Singular points of the sum of a series of exponential monomials on the boundary of the convergence domain
cites work: Q5655631
cites work: Q3338501
cites work: Q4896037
cites work: Q4653263
cites work: On the expansion of a meromorphic function in partial fractions
cites work: On small entire functions of exponential type with given zeros
cites work: Q5814065
cites work: Q3810099
cites work: Q3869572
cites work: An analog of the Valiron-Goldberg theorem under a restriction condition on the averaged counting function of zeros
cites work: Q4922297
cites work: Extremal problems in the theory of analytic continuation
cites work: Q3412316
cites work: On the least type of an entire function of order \(\rho \) with roots of a given upper \(\rho \)-density lying on one ray
cites work: The most rapid possible growth of the maximum modulus of a canonical product of noninteger order with a prescribed majorant of the counting function of zeros
cites work: On Even Entire Functions With Zeros Having a Density
cites work: Completeness of sets of complex exponentials
cites work: Necessary and Sufficient Conditions for Carlson's Theorem on Entire Functions
cites work: Regularly varying functions
cites work: To the question on \(\gamma\)-sufficient sets

Asymptotic properties of entire functions with given laws of distribution of zeros (cites work)
cites work: On a problem of Leont'ev and representing systems of exponentials.

Asymptotic properties of entire functions with given laws of distribution of zeros (cites work)
cites work: On some criteria for completely regular growth of entire functions of exponential type

Asymptotic properties of entire functions with given laws of distribution of zeros (cites work)
cites work: On the regularity of growth of canonical products with real zeros

Asymptotic properties of entire functions with given laws of distribution of zeros (cites work)
cites work: Representation of the reciprocal of an entire function by series of partial fractions and exponential approximation

Asymptotic properties of entire functions with given laws of distribution of zeros (cites work)
cites work: Dual characterization of absolutely representing systems in inductive limits of Banach spaces

Asymptotic properties of entire functions with given laws of distribution of zeros (cites work)
cites work: Expanding the reciprocal of an entire function with zeros in a strip in a Kreĭn series

Asymptotic properties of entire functions with given laws of distribution of zeros (cites work)
cites work: Q3453835

Asymptotic properties of entire functions with given laws of distribution of zeros (cites work)
cites work: On the least type of entire functions of order \(\rho \in (0,1)\) with positive zeros

Asymptotic properties of entire functions with given laws of distribution of zeros (cites work)
cites work: The problem on the minimal type of entire functions of order $\rho\in(0,1)$ with positive zeroes of prescribed densities and step

Asymptotic properties of entire functions with given laws of distribution of zeros (cites work)
cites work: On some infinite series involving the zeros of Bessel functions of the first kind

Asymptotic properties of entire functions with given laws of distribution of zeros (cites work)
cites work: Application of Krein's series to calculation of sums containing zeros of the Bessel functions

Asymptotic properties of entire functions with given laws of distribution of zeros (DOI)
DOI: 10.1007/S10958-021-05480-6