Results 71 to 80 of about 40,909 (200)
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
Spectral analysis for the exceptional Xm-Jacobi equation
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 +2 more
doaj
ON CUBATURE RULES ASSOCIATED TO WEYL GROUP ORBIT FUNCTIONS
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 +2 more
doaj +1 more source
On real and imaginary roots of generalised Okamoto polynomials
Abstract Recently, B. Yang and J. Yang derived a family of rational solutions to the Sasa–Satsuma equation, and showed that any of its members constitutes a partial‐rogue wave provided that an associated generalised Okamoto polynomial has no real roots or no imaginary roots.
Pieter Roffelsen, Alexander Stokes
wiley +1 more source
ABSTRACT The supercritical drive shaft is becoming increasingly popular in helicopter transmission system. Dry friction dampers are specially employed to ensure the supercritical shafts crossing the critical speed safely. Due to design tolerances, manufacturing errors and time‐varying factors, the parameters of the damper are inherently uncertain ...
Liyao Song +4 more
wiley +1 more source
Asymptotic zero distribution of Jacobi-Pi\~neiro and multiple Laguerre polynomials
We give the asymptotic distribution of the zeros of Jacobi-Pi\~neiro polynomials and multiple Laguerre polynomials of the first kind. We use the nearest neighbor recurrence relations for these polynomials and a recent result on the ratio asymptotics of ...
Neuschel, Thorsten, Van Assche, Walter
core +1 more source
Asymptotics for Recurrence Coefficients of X1-Jacobi Polynomials and Christoffel Function [PDF]
Á. P. Horváth
openalex +1 more source
Homogeneous Multigrid for Hybrid Discretizations: Application to HHO Methods
ABSTRACT We prove the uniform convergence of the geometric multigrid V‐cycle for hybrid high‐order (HHO) and other discontinuous skeletal methods. Our results generalize previously established results for HDG methods, and our multigrid method uses standard smoothers and local solvers that are bounded, convergent, and consistent.
Daniele A. Di Pietro +4 more
wiley +1 more source
This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim +3 more
doaj +1 more source
Functorial constructions related to double Poisson vertex algebras
Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec +2 more
wiley +1 more source

