Results 71 to 80 of about 79,087 (306)

Tridiagonal Operators and Zeros of Polynomials in Two Variables

Abstract and Applied Analysis, 2016
The aim of this paper is to connect the zeros of polynomials in two variables with the eigenvalues of a self-adjoint operator. This is done by use of a functional-analytic method.
Chrysi G. Kokologiannaki, Eugenia N. Petropoulou, Dimitris Rizos   +2 more
doaj   +1 more source

A hidden analytic structure of the Rabi model

, 2013
The Rabi model describes the simplest interaction between a cavity mode with a frequency $\omega_c$ and a two-level system with a resonance frequency $\omega_0$.
Moroz, Alexander
core   +1 more source

Flow Cytometry: Advances, Challenges and Trends

BioEssays, EarlyView.
Recent advances in flow cytometry span hardware, data processing, and AI‐driven analytics. Emerging modalitiesincluding spectral, imaging, mass, and nano/EV cytometryenable higher‐parameter and small‐particle detection. Integrated machine learning drives a shift from manual gating toward automated multi‐omics workflows.
J. Paul Robinson, Grzegorz B. Gmyrek, Bartek Rajwa   +2 more
wiley   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

The Spectral Connection Matrix for Any Change of Basis within the Classical Real Orthogonal Polynomials

Mathematics, 2015
The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj   +1 more source

Dual -1 Hahn polynomials: "classical" polynomials beyond the Leonard duality [PDF]

, 2011
We introduce the -1 dual Hahn polynomials through an appropriate $q \to -1$ limit of the dual q-Hahn polynomials. These polynomials are orthogonal on a finite set of discrete points on the real axis, but in contrast to the classical orthogonal ...
Tsujimoto, Satoshi, Vinet, Luc, Zhedanov, Alexei   +2 more
core  

The Kontorovich-Lebedev transform as a map between $d$-orthogonal polynomials

, 2012
A slight modification of the Kontorovich-Lebedev transform is an automorphism on the vector space of polynomials. The action of this $KL_{\alpha}$-transform over certain polynomial sequences will be under discussion, and a special attention will be given
Appell, Atakishiyeva, Cheikh, Cheikh, Cheikh, Chihara, Douak, Erdélyi, Gornevelt, Iseghem, Ismail, Koelink, Koornwinder, Koornwinder, Lebedev, Loureiro, Loureiro, Loureiro, Maroni, Maroni, Maroni, Maroni, Maroni, Prudnikov, Prudnikov, Riordan, Sneddon, Srivastava, Toscano, Van Assche, Wimp, Yakubovich, Yakubovich, Yakubovich   +33 more
core   +1 more source

Mapping protein–protein interactions by mass spectrometry

Mass Spectrometry Reviews, EarlyView.
Abstract Protein–protein interactions (PPIs) are essential for numerous biological activities, including signal transduction, transcription control, and metabolism. They play a pivotal role in the organization and function of the proteome, and their perturbation is associated with various diseases, such as cancer, neurodegeneration, and infectious ...
Xiaonan Liu, Lawrence Abad, Lopamudra Chatterjee, Ileana M. Cristea, Markku Varjosalo   +4 more
wiley   +1 more source

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

Nuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

CONNECTION FORMULAS AND REPRESENTATIONS OF LAGUERRE POLYNOMIALS IN TERMS OF THE ACTION OF LINEAR DIFFERENTIAL OPERATORS

Проблемы анализа, 2019
In this paper, we introduce the notion of Oε-classical orthogonal polynomials, where Oε := I + εD (ε 6= 0). It is shown that the scaled Laguerre polynomial sequence {a −nL (α) n (ax)}n>0, where a = −ε −1 , is actually the only Oε-classical ...
B. Aloui, L. Kheriji
doaj   +1 more source