Results 81 to 90 of about 172,575 (209)

Approximate Reachability for Feedback Linearizable Systems

Optimal Control Applications and Methods, Volume 47, Issue 5, Page 1062-1082, September/October 2026.
The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu, Chris Manzie, Peter M. Dower   +2 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  

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

Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester, Anas A. Rahman, Bo‐Jian Shen   +2 more
wiley   +1 more source

Some generalized Jacobi polynomials

Computers & Mathematics with Applications, 2003
Following the work of the first author [Int. J. Math. Math. Sci. 24, No. 10, 673--689 (2000; Zbl 0967.33006)] in this paper the authors obtain the explicit expressions for the coefficients in the three term pure recurrence relation for generalized Jacobi polynomials defined by a positive weight function which involves a \(p\)th power of \((1-x)\).
Atia, M.J., Alaya, J., Ronveaux, A.
openaire   +2 more sources

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

Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi, Sergey Shadrin, Ishan Jaztar Singh   +2 more
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

Tropical Donagi theorem

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
wiley   +1 more source

Classical and generalized Jacobi polynomials orthogonal with different weight functions and differential equations satisfied by these polynomials [PDF]

, 2017
summary:In this contribution we deal with classical Jacobi polynomials orthogonal with respect to different weight functions, their special cases - classical Legendre polynomials and generalized brothers of them.
Marčoková, Mariana, Guldan, Vladimír
core   +1 more source