Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
MacLane functions with prescribed zeros and interpolation properties
View through CrossRef
An entire function ϕ is called universal in the sense of MacLane (for short MacLane function) if for any preassigned entire functionIt is shown that for every appropriate choice of designated zeros in ℂ, there exists a MacLane function having zeros exactly in these points, of preassigned order. Moreover, there exist MacLane functions satisfying an interpolation problem in addition.
Title: MacLane functions with prescribed zeros and interpolation properties
Description:
An entire function ϕ is called universal in the sense of MacLane (for short MacLane function) if for any preassigned entire functionIt is shown that for every appropriate choice of designated zeros in ℂ, there exists a MacLane function having zeros exactly in these points, of preassigned order.
Moreover, there exist MacLane functions satisfying an interpolation problem in addition.
Related Results
Random interpolation and related properties in spaces of holomorphic functions
Random interpolation and related properties in spaces of holomorphic functions
Interpolation aléatoire et propriétés associées dans les espaces de fonctions holomorphes
Cette thèse explore l’interaction entre l’analyse complexe et la théorie d...
SYSTEMATIZATION OF INTERPOLATION METHODS IN GEOMETRIC MODELING
SYSTEMATIZATION OF INTERPOLATION METHODS IN GEOMETRIC MODELING
This article proposes to show the connections between the practical problems of geometric modeling, for the solution of which there are no adequate interpolation methods. Interpola...
Multivariate interpolation
Multivariate interpolation
The paper deals with iterative interpolation methods in forms of similar recursive procedures defined by a sort of simple functions (interpolation basis) not necessarily real value...
Interpolation-free particle simulation
Interpolation-free particle simulation
AbstractParticle-in-Cell (PIC) simulation is an interpolation-based method on the Newton–Maxwell (N–M) system. Its well-known drawback is its shape/interpolation functions often ca...
Zeros of modular forms and Faber polynomials
Zeros of modular forms and Faber polynomials
AbstractWe study the zeros of cusp forms of large weight for the modular group, which have a very large order of vanishing at infinity, so that they have a fixed number of finite ...
Generative frame interpolation enhances tracking of biological objects in time-lapse microscopy
Generative frame interpolation enhances tracking of biological objects in time-lapse microscopy
Abstract
Object tracking in microscopy videos is crucial for understanding biological processes. While existing methods often require fine-tuning tracking algorithm...
Spaces of Maps into Eilenberg-Maclane Spaces
Spaces of Maps into Eilenberg-Maclane Spaces
In this note we provide alternative and unified proofs for two theorems on the homotopy groups of spaces of (continuous) maps into Eilenberg-MacLane spaces. The first theorem is du...
Effects of prescribed burning on species diversity of understory in Pinus yunnanensis forests of southwest China
Effects of prescribed burning on species diversity of understory in Pinus yunnanensis forests of southwest China
Abstract
Background
The Pinus yunnanensis forest in southwestern China is a unique and significant vegetation type. However, it is susceptible to frequent fires. To mitiga...