Results 211 to 220 of about 411,141 (342)

Fast associated classical orthogonal polynomial transforms

, 2021
Brock Klippenstein, Richard Mikaël Slevinsky   +1 more
openalex   +2 more sources

Asymptotic estimates of large gaps between directions in certain planar quasicrystals

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract For quasicrystals of cut‐and‐project type in Rd$\mathbb {R}^d$, it was proved by Marklof and Strömbergsson [Int. Math. Res. Not. IMRN (2015), no. 15, 6588–6617; erratum, ibid. 2020] that the limit local statistical properties of the directions to the points in the set are described by certain SLd(R)$\operatorname{SL}_d(\mathbb {R})$‐invariant ...
Gustav Hammarhjelm, Andreas Strömbergsson, Shucheng Yu   +2 more
wiley   +1 more source

Exact solutions of Dirac equation for hydrogen atom using the linear combination of orthogonal Laguerre basis functions. [PDF]

Sci Rep
Wu S.
europepmc   +1 more source

Algebraic relations between solutions of Painlevé equations

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract In this manuscript, we make major progress classifying algebraic relations between solutions of Painlevé equations. Our main contribution is to establish the algebraic independence of solutions of various pairs of equations in the Painlevé families; for generic coefficients, we show that all algebraic relations between solutions of equations ...
James Freitag, Joel Nagloo
wiley   +1 more source

Classical 2-orthogonal polynomials and differential equations

International Journal of Mathematics and Mathematical Sciences, 2006
Boukhemis Ammar, Zerouki Ebtissem
doaj   +1 more source

Differential Operators and Spectral Distributions of Invariant Ensembles from the Classical Orthogonal Polynomials. The Continuous Case

, 2004
Michel Ledoux
openalex   +1 more source

Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal. [PDF]

Res Math Sci
Fink A, Giansiracusa J, Giansiracusa N, Mundinger J.   +3 more
europepmc   +1 more source

Well‐Posedness, Long‐Time Behavior, and Discretization of Some Models of Nonlinear Acoustics in Velocity–Enthalpy Formulation

Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 8793-8805, 30 May 2025.
ABSTRACT We study a class of models for nonlinear acoustics, including the well‐known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamically consistent modification of the latter. Using linearization, energy estimates, and fixed‐point arguments, we establish the existence and uniqueness of solutions ...
Herbert Egger, Marvin Fritz
wiley   +1 more source

Variational Method for Vibration Analysis of Elliptic Cylinders Reinforced with Functionally Graded Carbon Nanotubes. [PDF]

Materials (Basel)
Gong Q, Liu T, Teng Y, Ma B, Li X.
europepmc   +1 more source

On the $$D_{\omega }$$-Classical Orthogonal Polynomials

Mediterranean Journal of Mathematics
We wish to investigate the $D_{\omega}$-classical orthogonal polynomials, where $D_{\omega}$ is a special case of the Hahn operator. For this purpose, we consider the problem of finding all sequences of orthogonal polynomials such that their $D_{\omega}$-derivatives are also orthogonal polynomials. To solve this problem we adopt a different approach to
openaire   +2 more sources