Results 1 to 10 of about 1,133,682 (296)

Thermal instanton determinant in compact form [PDF]

open access: yesPhysical Review D, 2014
26 pages, 2 figures.
Altes, C. P. Korthals, Sastre, Alfonso
openaire   +5 more sources

An Algebraic Approach to the Δh-Frobenius–Genocchi–Appell Polynomials

open access: yesMathematics, 2023
In recent years, the generating function of mixed-type special polynomials has received growing interest in several fields of applied sciences and physics.
Shahid Ahmad Wani   +6 more
doaj   +1 more source

Degenerate 2D bivariate Appell polynomials: properties and applications

open access: yesApplied Mathematics in Science and Engineering, 2023
The development of certain aspects of hybrid special polynomials after incorporating monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable.
Shahid Ahmad Wani   +2 more
doaj   +1 more source

Quantum determinants in ribbon category [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2022
The aim of this paper is to introduce an abstract notion of determinant which we call quantum determinant, verifying the properties of the classical one.
Hanan Choulli   +2 more
doaj   +1 more source

Optical solitary wave solutions in generalized determinant form for Kundu–Eckhaus equation

open access: yesResults in Physics, 2023
The Kundu–Eckhaus (KE) equation describes the propagation of ultra-short femtosecond pulses in optical fibers. In this paper, on the basis of Hirota bilinear form of KE equation, a complex matrix is introduced into the differential relation satisfied by ...
Gui-Min Yue, Xiang-Hua Meng
doaj   +1 more source

Cartan determinants and Shapovalov forms [PDF]

open access: yesMathematische Annalen, 2002
We compute the determinant of the Gram matrix of the Shapovalov form on weight spaces of the basic representation of an affine Kac-Moody algebra of ADE type (possibly twisted). As a consequence, we obtain explicit formulae for the determinants of the Cartan matrices of $p$-blocks of the symmetric group and its double cover, and of the associated Hecke ...
Brundan, Jonathan, Kleshchev, Alexander
openaire   +3 more sources

Evaluation of a Special Hankel Determinant of Binomial Coefficients [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
This paper makes use of the recently introduced technique of $\gamma$-operators to evaluate the Hankel determinant with binomial coefficient entries $a_k = (3 k)! / (2k)! k!$. We actually evaluate the determinant of a class of polynomials $a_k(x)$ having
Ömer Eugeciouglu   +2 more
doaj   +1 more source

Determinant form of correlators in high rank integrable spin chains via separation of variables

open access: yesJournal of High Energy Physics, 2021
In this paper we take further steps towards developing the separation of variables program for integrable spin chains with gl N $$ \mathfrak{gl}(N) $$ symmetry.
Nikolay Gromov   +2 more
doaj   +1 more source

The Determinant of an Elliptic Sylvesteresque Matrix [PDF]

open access: yes, 2018
We evaluate the determinant of a matrix whose entries are elliptic hypergeometric terms and whose form is reminiscent of Sylvester matrices. A hypergeometric determinant evaluation of a matrix of this type has appeared in the context of approximation ...
Bhatnagar, Gaurav   +1 more
core   +3 more sources

Periodic orbit quantization of the Sinai billiard in the small scatterer limit [PDF]

open access: yes, 1997
We consider the semiclassical quantization of the Sinai billiard for disk radii R small compared to the wave length 2 pi/k. Via the application of the periodic orbit theory of diffraction we derive the semiclassical spectral determinant.
Abramovitz M   +15 more
core   +3 more sources

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