Results 91 to 100 of about 56,667 (302)

A Characterization of "Classical" d-Orthogonal Polynomials

Journal of Approximation Theory, 1995
AbstractWe give a characterization of "classical" d-orthogonal polynomials through a vectorial functional equation. A sequence of monic polynomials {Bn}n ≥ 0 is called d-simultaneous orthogonal or simply d-orthogonal if it fulfils the following d + 1-st order recurrence relation: [formula] with the initial conditions [formula] Denoting by {Ln}n ≥ 0 the
Khalfa Douak, Pascal Maroni
openaire   +2 more sources

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

On some asymptotic properties of classical Hermite polynomials modified by a rational factor

Revista Integración, 2018
In this paper we study some asymptotic properties of the sequence of monic polynomials orthogonal with respect to the measure dµ = x 2+a x2+b e −x 2 dx, where a, b > 0 and a 6= b.
Luis Alejandro Molano Molano
doaj   +1 more source

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad, Gohar Flad‐Harutyunyan   +1 more
wiley   +1 more source

Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials

, 2013
Let {pn} 1=0 be a sequence of orthogonal polynomials. We briefly review properties of pn that have been used to derive upper and lower bounds for the largest and smallest zero of pn.
K. Driver, K. Jordaan
semanticscholar   +1 more source

Discriminants of classical quasi-orthogonal polynomials with application to Diophantine equations

Journal of the Mathematical Society of Japan, 2019
We derive explicit formulas for the discriminants of classical quasi-orthogonal polynomials, as a full generalization of the result of Dilcher and Stolarsky (2005).
M. Sawa, Y. Uchida
semanticscholar   +1 more source

Generalized φ$$ \varphi $$‐Pullback Attractors in Time‐Dependent Spaces: Application to a Nonautonomous Wave Equation With Time‐Dependent Propagation Velocity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus Cheque Bortolan, Carlos Pecorari Neto, Heraclio López Lázaro, Paulo N. Seminario Huertas   +3 more
wiley   +1 more source

Orthogonal polynomials and Stieltjes functions: the Laguerre-Hahn case [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 1996
In this paper we consider orthogonal polynomials of the so-called Laguerre-Hahn class. This means that the Stieltjes function associated with the corresponding moment sequence satisfies a Riccati differential equation with polynomial coefficients.
E. PRIANES, F. MARCELLÁN
doaj  

Three Benefits of Using Nonlinear Compliance in Robotic Systems Performing Cyclic Tasks: Energy Efficiency, Control Robustness, and Gait Optimality

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Nonlinearity in parallel compliance can be exploited to improve the performance of locomotion systems in terms of (1) energy efficiency, (2) control robustness, and (3) gait optimality; that is, attaining energy efficiency across a set of motions. Thus far, the literature has investigated and validated only the first two benefits.
Rezvan Nasiri, Mahdi Khoramshahi, Mohammad Javad Yazdanpanah, Majid Nili Ahmadabadi   +3 more
wiley   +1 more source

Uncertainty Quantification for Nonlinear Vibration of Supercritical Drive Shaft With a Dry Friction Damper

International Journal of Mechanical System Dynamics, EarlyView.
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, Meijun Liao, Weifang Chen, Rupeng Zhu, Dan Wang   +4 more
wiley   +1 more source