Cover Image

On the number of non-real zeroes of a homogeneous differential polynomial and a generalization of the Laguerre inequalities

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Tyaglov, Mikhail, Atia, Mohamed J.
Format:	Preprint
Published:	2019
Subjects:	Classical Analysis and ODEs Primary 12D10, Secondary 26C10, 26C15, 30C15, 30C10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the number of real critical points of logarithmic derivatives and the Hawaii conjecture
by: Tyaglov, Mikhail
Published: (2009)

Self-interlacing polynomials
by: Tyaglov, Mikhail
Published: (2016)

Hawaii conjecture through the lens of Cauchy indices
by: Gnatyuk, Dmitry, et al.
Published: (2025)

On the number of real zeroes of a homogeneous differential polynomial and a generalization of the Hawaii conjecture
by: Katkova, Olga, et al.
Published: (2024)

Linear finite difference operators preserving Laguerre-Pólya class
by: Katkova, O., et al.
Published: (2016)

Hermite-Poulain theorems for linear finite difference operators
by: Katkova, Olga, et al.
Published: (2019)

Degree $6$ hyperbolic polynomials and orders of moduli
by: Gati, Yousra, et al.
Published: (2023)

Egerváry's theorems for harmonic trinomials
by: Barrera, Gerardo, et al.
Published: (2023)

Hurwitz rational functions
by: Barkovsky, Yury S., et al.
Published: (2010)

Zeros and exponential profiles of polynomials I: Limit distributions, finite free convolutions and repeated differentiation
by: Jalowy, Jonas, et al.
Published: (2025)

On the location of ratios of zeros of special trinomials
by: Bamunoba, Alex Samuel, et al.
Published: (2022)

Brenke polynomials with real zeros and the Riemann Hypothesis
by: Durán, Antonio J.
Published: (2024)

Zero distribution of multiplicative Hermite and Laguerre polynomials
by: Kabluchko, Zakhar
Published: (2025)

Numerical radius inequalities and estimation of zeros of polynomials
by: Jana, Suvendu, et al.
Published: (2023)

An improved lower bound for a problem of Littlewood on the zeros of cosine polynomials
by: Bedert, Benjamin
Published: (2024)

Flow of the zeros of polynomials under iterated differentiation
by: Martinez-Finkelshtein, Andrei, et al.
Published: (2024)

Maximal univalent disks of real rational functions and Hermite-Biehler polynomials
by: Kostov, V., et al.
Published: (2010)

On the oscillations of the modulus of Rudin-Shapiro polynomials around the middle of their ranges
by: Erdélyi, Tamás
Published: (2022)

The stability region for Schur stable trinomials with general complex coefficients
by: Barrera, Gerardo, et al.
Published: (2023)

Zeros and exponential profiles of polynomials II: Examples
by: Jalowy, Jonas, et al.
Published: (2025)

Total nonnegativity of finite Hurwitz matrices and root location of polynomials
by: Adm, Mohammad, et al.
Published: (2017)

On the problem of Kakeya
by: Bakic, Rados
Published: (2024)

Generalized $f$-Eulerian polynomials: zeros and hypergeometric representations with applications
by: Karp, Dmitrii, et al.
Published: (2025)

On a pointwise inequality for even Legendre polynomials in high dimensional spheres
by: Chen, Shirong, et al.
Published: (2024)

Extensions of the Bloch-Pólya theorem on the number of real zeros of polynomials (II)
by: Erdélyi, Tamás
Published: (2024)

The number of real zeros of polynomials with constrained coefficients
by: Erdélyi, Tamás
Published: (2024)

On the generalized interlacing property for the zeros of Bessel functions
by: Chung, Seok-Young, et al.
Published: (2023)

Asymptotics of Bergman polynomials for domains with reflection-invariant corners
by: Miña-Díaz, Erwin, et al.
Published: (2024)

Repeated differentiation and free unitary Poisson process
by: Kabluchko, Zakhar
Published: (2021)

Novel Formulas for B-Splines, Bernstein Basis Functions and special numbers: Approach to Derivative and Functional Equations of Generating Functions
by: Simsek, Yilmaz
Published: (2023)

Weighted equilibrium and the flow of derivatives of polynomials
by: Martinez-Finkelshtein, Andrei, et al.
Published: (2025)

Zero-free sector of the Wronski map on the totally nonnegative Grassmannian
by: Karp, Steven N.
Published: (2025)

The blowup-polynomial of a metric space: connections to stable polynomials, graphs and their distance spectra
by: Choudhury, Projesh Nath, et al.
Published: (2021)

An elementary approach to integral inequalities involving higher order derivatives
by: Rosenzweig, Bart, et al.
Published: (2025)

On the Parameter Spaces of Harmonic Trinomial Equations
by: Barrera, Waldemar, et al.
Published: (2026)

Uniform bounds, zero separation and monotonicity for the regular Coulomb wave functions
by: Chung, Seok-Young
Published: (2024)

Partial fraction expansions and zeros of Hankel transforms
by: Cho, Yong-Kum, et al.
Published: (2023)

Constructing Discontinuous but Locally Bounded Rational Functions using Łojasiewicz Inequalities
by: Coffman, Adam, et al.
Published: (2026)

Complete Resolution of B.Shapiro's Conjecture 12
by: Ma, Lande, et al.
Published: (2025)

Complex zeros of Bessel function derivatives and associated orthogonal polynomials
by: Chung, Seok-Young, et al.
Published: (2024)