Results 51 to 60 of about 73,008 (249)
$q$-Classical orthogonal polynomials: A general difference calculus approach
, 2009 It is well known that the classical families of orthogonal polynomials are characterized as eigenfunctions of a second order linear differential/difference operator.
A.F. Nikiforov +26 more
core +4 more sources
New Characterizations of Discrete Classical Orthogonal Polynomials
Journal of Approximation Theory, 1997 In this very nice paper, the authors consider (quasi)orthogonal polynomial sequences [\((Q)OPS\): see (i)] with respect to a regular moment functional \(\sigma\) [see (ii)]. (i) \(\{P_n\}_{n=0}^{\infty}\) polynomials in \(x\) with degree \(P_n=n,\;n\geq 0\) form a \(QOPS\) resp. \(OPS\) if \(\langle \sigma,P_nP_m\rangle = K_n\delta_{nm}\) with \(K_n\in{
Kwon, KH Kwon, Kil Hyun +2 more
openaire +3 more sources
Moments of discrete orthogonal polynomial ensembles
Electronic Journal of Probability, 2020 20 ...
Cohen, Philip +2 more
openaire +4 more sources
Advanced Science, EarlyView.Laterally spreading tumors (LSTs) are precancerous colorectal lesions characterized by a flat morphology. This study reveals a mechanochemical pathway through which a soft matrix microenvironment diminishes spatial constraints in intestinal adenomas. This process promotes deficiencies in tight junction proteins, mediated by the mechanoreceptor ADORA2B ...
Jiamin Zhong +21 more
wiley +1 more source
New Stability Criteria for Discrete Linear Systems Based on Orthogonal Polynomials
Mathematics, 2020 A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szegő transformation ...
Luis E. Garza +2 more
doaj +1 more source
Darboux transforms on Band Matrices, Weights and associated Polynomials
, 1999 Classically, it is well known that a single weight on a real interval leads to orthogonal polynomials. In "Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems", Comm. Math. Phys. 207, pp.
Adler, Mark, van Moerbeke, Pierre
core +3 more sources
Advanced Electronic Materials, EarlyView.This paper reviews the physics of liquid metals in RF devices, including the influence of mechanical strain on resonance as well as fabrication methods and strategies for designing tunable and strain‐tolerant inductors, capacitors, and antennas.
Md Saifur Rahman, William J. Scheideler
wiley +1 more source
Advanced Electronic Materials, EarlyView.Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
wiley +1 more source
Expressions of Legendre polynomials through Bernoulli polynomials
Revista Técnica de la Facultad de Ingeniería, 2011 A formula for expanding Legendre polynomials in Bernoulli polynomials is considered. The relationship is established by using a formula of finite summation, obtained by applying the discrete orthogonal relation of the modified Lommel polynomials.
Vu Kim Tuan, Nguyen Thi Tinh
doaj
The Fractional Orthogonal Derivative
Mathematics, 2015 This paper builds on the notion of the so-called orthogonal derivative, where an n-th order derivative is approximated by an integral involving an orthogonal polynomial of degree n.
Enno Diekema
doaj +1 more source