Results 1 to 10 of about 237,114 (316)

Use of the Complex Zeros of the Partition Function to Investigate the Critical Behavior of the Generalized Interacting Self-Avoiding Trail Model [PDF]

Entropy, 2019
The complex zeros of the canonical (fixed walk-length) partition function are calculated for both the self-avoiding trails model and the vertex-interacting self-avoiding walk model, both in bulk and in the presence of an attractive surface.
Damien Foster, Ralph Kenna, Claire Pinettes   +2 more
doaj   +4 more sources

Partition Function Zeros of the Spin-One Ising Model on the Honeycomb Lattice in the Complex Temperature Plane [PDF]

Entropy
The spin-one Ising model on the honeycomb lattice has never been solved exactly in spite of its simplicity. Even its exact critical temperature is not known.
Seung-Yeon Kim
doaj   +2 more sources

The Generalized Riemann Hypothesis on elliptic complex fields

AIMS Mathematics, 2023
In this paper, we will introduce a new algebraic system called the elliptic complex, and consider the distribution of zeros of the function $ L(s, \chi) $ in the corresponding complex plane. The key to this article is to discover the limiting case of the
Xian Hemingway
doaj   +1 more source

Location of the Zeros of Certain Complex-Valued Harmonic Polynomials

Journal of Mathematics, 2022
Finding the approximate region containing all the zeros of analytic polynomials is a well-studied problem. But the number of the zeros and regions containing all the zeros of complex-valued harmonic polynomials is relatively a fresh research area.
Hunduma Legesse Geleta, Oluma Ararso Alemu   +1 more
doaj   +1 more source

Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributions

AIMS Mathematics, 2023
The 2-variable modified partially degenerate Hermite (MPDH) polynomials are the subject of our study in this paper. We found basic properties of these polynomials and obtained several types of differential equations related to MPDH polynomials.
Gyung Won Hwang, Cheon Seoung Ryoo, Jung Yoog Kang   +2 more
doaj   +1 more source

On the Eneström–Kakeya theorem for quaternionic polynomials

Comptes Rendus. Mathématique, 2023
In this paper, we present certain results concerning the distribution of zeros of polynomials of a quaternionic variable and with quaternionic coefficients. We obtain ring shaped regions of Eneström–Kakeya type for the zeros of these polynomials and also
Mir, Abdullah, Ahmad, Abrar
doaj   +1 more source

Some Identities Involving Two-Variable Partially Degenerate Hermite Polynomials Induced from Differential Equations and Structure of Their Roots

Mathematics, 2020
In this paper, we introduce two-variable partially degenerate Hermite polynomials and get some new symmetric identities for two-variable partially degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
doaj   +1 more source

Location of zeros of Wiener and distance polynomials. [PDF]

PLoS ONE, 2012
The geometry of polynomials explores geometrical relationships between the zeros and the coefficients of a polynomial. A classical problem in this theory is to locate the zeros of a given polynomial by determining disks in the complex plane in which all ...
Matthias Dehmer, Aleksandar Ilić
doaj   +1 more source

The Number of Zeros in a Disk of a Complex Polynomial with Coefficients Satisfying Various Monotonicity Conditions

AppliedMath, 2023
Motivated by results on the location of the zeros of a complex polynomial with monotonicity conditions on the coefficients (such as the classical Eneström–Kakeya theorem and its recent generalizations), we impose similar conditions and give bounds on the
Robert Gardner, Matthew Gladin
doaj   +1 more source

Differential Equations Associated with Two Variable Degenerate Hermite Polynomials

Mathematics, 2020
In this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
doaj   +1 more source