Results 21 to 30 of about 388,814 (186)

Generalizations of the Eneström–Kakeya Theorem Involving Weakened Hypotheses

open access: yesAppliedMath, 2022
The well-known Eneström–Kakeya Theorem states that, for P(z)=∑ℓ=0naℓzℓ, a polynomial of degree n with real coefficients satisfying 0≤a0≤a1≤⋯≤an, then all the zeros of P lie in |z|≤1 in the complex plane. Motivated by recent results concerning an Eneström–
Robert Gardner, Matthew Gladin
doaj   +1 more source

Weak Boson Production Amplitude Zeros; Equalities of the Helicity Amplitudes [PDF]

open access: yes, 2001
We investigate the radiation amplitude zeros exhibited by many Standard Model amplitudes for triple weak gauge boson production processes. We show that $WZ\gamma$ production amplitudes have especially rich structure in terms of zeros, these amplitudes ...
A.D. Martin   +32 more
core   +3 more sources

The Heine-Stieltjes correspondence and a new angular momentum projection for many-particle systems [PDF]

open access: yes, 2013
A new angular momentum projection for systems of particles with arbitrary spins is formulated based on the Heine-Stieltjes correspondence, which can be regarded as the solutions of the mean-field plus pairing model in the strong pairing interaction G ...
Draayer, Jerry P.   +3 more
core   +3 more sources

Differential Equations Arising from the Generating Function of the (r, β)-Bell Polynomials and Distribution of Zeros of Equations

open access: yesMathematics, 2019
In this paper, we study differential equations arising from the generating function of the ( r , β ) -Bell polynomials. We give explicit identities for the ( r , β ) -Bell polynomials. Finally, we find the zeros of the ( r , &#
Kyung-Won Hwang   +2 more
doaj   +1 more source

Stability of Zeros for Sampled-Data Models with Triangle Sample and Hold Implemented by Zero-Order Hold

open access: yesMachines, 2022
This paper deals with the stability characteristics of zeros for sampled-data models with a class of triangle sample and hold realized by a traditional zero-order hold.
Minghui Ou   +6 more
doaj   +1 more source

On zero sets in the Dirichlet space [PDF]

open access: yes, 2011
We study the zeros sets of functions in the Dirichlet space. Using Carleson formula for Dirichlet integral, we obtain some new families of zero sets.
A. Nagel   +19 more
core   +4 more sources

Orthogonal Polynomials on Radial Rays in the Complex Plane: Construction, Properties and Applications

open access: yesAxioms
Orthogonal polynomials on radial rays in the complex plane were introduced and studied intensively in several papers almost three decades ago. This paper presents an account of such kinds of orthogonality in the complex plane, as well as a number of new ...
Gradimir V. Milovanović
doaj   +1 more source

REFINEMENT OF SOME BERNSTEIN TYPE INEQUALITIES FOR RATIONAL FUNCTIONS

open access: yesПроблемы анализа, 2022
In this paper, we establish some Bernstein-type inequalities for rational functions with prescribed poles. These results refine prior inequalities on rational functions and strengthen many well-known polynomial inequalities.
Idrees Qasim
doaj   +1 more source

Higher Monotonicity Properties for Zeros of Certain Sturm-Liouville Functions

open access: yesMathematics, 2023
In this paper, we consider the differential equation y″+ω2ρ(x)y=0, where ω is a positive parameter. The principal concern here is to find conditions on the function ρ−1/2(x) which ensure that the consecutive differences of sequences constructed from the ...
Tzong-Mo Tsai
doaj   +1 more source

Convexity of the zeros of some orthogonal polynomials and related functions

open access: yes, 2008
We study convexity properties of the zeros of some special functions that follow from the convexity theorem of Sturm. We prove results on the intervals of convexity for the zeros of Laguerre, Jacobi and ultraspherical polynomials, as well as functions ...
Ahmed   +17 more
core   +1 more source

Home - About - Disclaimer - Privacy