Results 121 to 130 of about 411,141 (342)
A matrix Rodrigues formula for classical orthogonal polynomials in two variables [PDF]
arXiv, 2006 Classical orthogonal polynomials in one variable can be characterized as the only orthogonal polynomials satisfying a Rodrigues formula. In this paper, using the second kind Kronecker power of a matrix, a Rodrigues formula is introduced for classical orthogonal polynomials in two variables.
arxiv
Journal of Applied Econometrics, EarlyView.ABSTRACT This paper introduces a generalized model of peer effects for binary outcomes, based on a network game that accounts for strategic complementarity (influence of the number of peers that select the same action) and conformity to social norms (penalizing deviations from the average peers' action).
Mathieu Lambotte
wiley +1 more source
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
The 2‐divisibility of divisors on K3 surfaces in characteristic 2
Mathematische Nachrichten, EarlyView.Abstract We show that K3 surfaces in characteristic 2 can admit sets of n$n$ disjoint smooth rational curves whose sum is divisible by 2 in the Picard group, for each n=8,12,16,20$n=8,12,16,20$. More precisely, all values occur on supersingular K3 surfaces, with exceptions only at Artin invariants 1 and 10, while on K3 surfaces of finite height, only n=
Toshiyuki Katsura +2 more
wiley +1 more source
Macromolecular Rapid Communications, EarlyView.The manifestation of specific ion effects in methanol‐water mixtures on polymer brush exemplars is explored. Spectroscopic ellipsometry and neutron reflectometry revealed solvent‐driven LCST changes in a thermoresponsive brush, which is also readily influenced by the presence of electrolytes.
Hayden Robertson +6 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
Sobolev Freud polynomials [PDF]
arXiv, 2015 We investigate the uniform asymptotic of some Sobolev orthogonal polynomials. Three term recurrence relation is given, moreover we give a recurrence relation between the so-called Sobolev orthogonal polynomials and Freud orthogonal polynomials.
arxiv
Ladder operators and differential equations for multiple orthogonal polynomials [PDF]
, 2012 In this paper, we obtain the ladder operators and associated compatibility conditions for the type I and the type II multiple orthogonal polynomials. These ladder equations extend known results for orthogonal polynomials and can be used to derive the differential equations satisfied by multiple orthogonal polynomials.
arxiv +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