Results 81 to 90 of about 180,252 (161)

Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds

Mathematische Nachrichten, Volume 299, Issue 11, Page 3367-3391, November 2026.
ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke, Laure Flapan, Sarah Frei, Lisa Marquand   +3 more
wiley   +1 more source

Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics

Symmetry, Integrability and Geometry: Methods and Applications, 2009
New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional superpotential and on the ...
Christiane Quesne
doaj   +1 more source

INTEGRAL REPRESENTATIONS FOR THE JACOBI–PINEIRO POLYNOMIALS AND THE FUNCTIONS OF THE SECOND KIND

Проблемы анализа, 2019
We consider the Hermite – Pad´e approximants for the Cauchy transforms of the Jacobi weights in one interval. The denominators of the approximants are known as Jacobi – Pi˜neiro polynomials.
V. G. Lysov
doaj   +1 more source

Fractional Nikiforov‐Uvarov Formalism for Dunkl‐Schrödinger Equation With Deng‐Fan Molecular Model

International Journal of Quantum Chemistry, Volume 126, Issue 19, October 5, 2026.
The effect of Dunkl deformation parameters on energy eigenvalues of Deng‐Fan potential (DFP) is evaluated using conformable fractional Nikiforov‐Uvarov method. Our results show that energy eigenvalues of DFP for selected diatomic molecules are significantly influenced by the Dunkl deformation parameter, fractional parameter, kinetic pre‐factor and ...
H. I. Alrebdi, U. S. Okorie, E. S. William, A. N. Ikot   +3 more
wiley   +1 more source

Spectral analysis for the exceptional Xm-Jacobi equation

Electronic Journal of Differential Equations, 2015
We provide the mathematical foundation for the $X_m$-Jacobi spectral theory. Namely, we present a self-adjoint operator associated to the differential expression with the exceptional $X_m$-Jacobi orthogonal polynomials as eigenfunctions.
Constanze Liaw, Lance Littlejohn, Jessica Stewart Kelly   +2 more
doaj  

Fractional Jacobi Renormalization Operators for Fixed Classical Orthogonal Polynomial Systems

Fractal and Fractional
For a fixed orthogonal polynomial sequence, classical orthonormalization changes the polynomials by degree-dependent scalar factors. If the polynomials themselves are kept fixed, scalar-measure normalization is usually impossible; on a compact interval ...
Edson Pindza, Hopolang Phillip Mashele
doaj   +1 more source

Analytical properties of the two-variables Jacobi matrix polynomials with applications

Demonstratio Mathematica, 2021
In the current study, we introduce the two-variable analogue of Jacobi matrix polynomials. Some properties of these polynomials such as generating matrix functions, a Rodrigue-type formula and recurrence relations are also derived.
Abdalla Mohamed, Hidan Muajebah
doaj   +1 more source

Dynamical Behavior of Soliton Solutions and Bifurcation Analysis for the Time‐Fractional Akbota Equation With Beta Derivative

Engineering Reports, Volume 8, Issue 10, October 2026.
Exact soliton solutions of the time‐fractional Akbota equation with the beta derivative are obtained using three analytical methods. Bifurcation, stability, and phase‐plane analyses reveal stable and unstable equilibrium states, demonstrating controllable nonlinear wave dynamics with promising applications in optical fiber communication, nonlinear ...
S. M. Rayhanul Islam
wiley   +1 more source

Polynomial Preconditioning for Indefinite Matrices

Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.
ABSTRACT Polynomial preconditioning is an important tool in solving large linear systems and eigenvalue problems. A polynomial from GMRES can be used to precondition restarted GMRES and restarted Arnoldi. Here we give methods for indefinite matrices that make polynomial preconditioning more generally applicable. The new techniques include balancing the
Hayden Henson, Ronald B. Morgan
wiley   +1 more source

ON CUBATURE RULES ASSOCIATED TO WEYL GROUP ORBIT FUNCTIONS

Acta Polytechnica, 2016
The aim of this article is to describe several cubature formulas related to the Weyl group orbit functions, i.e. to the special cases of the Jacobi polynomials associated to root systems.
Lenka Háková, Jiří Hrivnák, Lenka Motlochová   +2 more
doaj   +1 more source