Results 111 to 120 of about 1,059,315 (385)
On 2-orthogonal polynomials of Laguerre type
International Journal of Mathematics and Mathematical Sciences, 1999 Let {Pn}n≥0 be a sequence of 2-orthogonal monic polynomials relative to linear functionals ω0 and ω1 (see Definition 1.1). Now, let {Qn}n≥0 be the sequence of polynomials defined by Qn:=(n+1)−1P′n+1,n≥0.
Khalfa Douak
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Multivariate Krawtchouk polynomials and composition birth and death processes
, 2016 This paper defines the multivariate Krawtchouk polynomials, orthogonal on the multinomial distribution, and summarizes their properties as a review. The multivariate Krawtchouk polynomials are symmetric functions of orthogonal sets of functions defined ...
Griffiths, Robert
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Discrete semiclassical orthogonal polynomials of class one [PDF]
, 2012 We study discrete semiclassical orthogonal polynomials of class s D 1. By considering particular solutions of the Pearson equation, we obtain five canonical families of such polynomials.
D. Dominici, F. Marcellán
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Advanced Science, EarlyView.Bacteria‐targeted hierarchical porous Ag@Gd‐BBDC1.25 bifunctional nanoprobe realized sensitive and specific MRI detection of bacteria and ROS‐mediated in situ therapy. Abstract Currently, there are no non‐invasive tools to accurately diagnose deep surgical site bacterial infections before they cause significant anatomical damage in the clinic.
Youyi Yu +4 more
wiley +1 more source
Cohomology of moduli spaces of Del Pezzo surfaces
Mathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023 Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
wiley +1 more source
Complex versus real orthogonal polynomials of two variables [PDF]
arXiv, 2013 Orthogonal polynomials of two real variables can often be represented in complex variables. We explore the connection between the two types of representations and study the structural relations of complex orthogonal polynomials. The complex Hermite orthogonal polynomials and the disk polynomials are used as illustrating examples.
arxiv
, 2005 The equilibrium positions of the multi-particle classical Calogero-Sutherland-Moser (CSM) systems with rational/trigonometric potentials associated with the classical root systems are described by the classical orthogonal polynomials; the Hermite ...
Odake, S., Sasaki, R.
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Companion orthogonal polynomials
Journal of Computational and Applied Mathematics, 1996 AbstractWe give some properties relating the recurrence relations of orthogonal polynomials associated with any two symmetric distributions dφ1(x) and d2(x) such that dφ2(x) = (1 + kx2)d1(x). As applications of properties, recurrence relations for many interesting systems of orthogonal polynomials are obtained.
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Orthogonal Laurent polynomials
Indagationes Mathematicae (Proceedings), 1986 AbstractA Favard type theorem for special sequences of Laurent polynomials is proved. This result is used to establish the relation between T-fractions and orthogonal Laurent polynomials (OLPs). Applications are given to T-fractions for (quotients of) hypergeometric functions of type 2F1 and confluent forms. In the special case of 2F1(a,1;c;z) a weight
Erik Hendriksen, H. van Rossum
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Anion Localization on Termini of a Non‐Fullerene Acceptor Aids Charge Transport
Advanced Energy Materials, EarlyView.Time‐resolved infrared spectroscopy, in conjunction with computational chemistry, transient absorption spectroscopy, and morphology characterization, is employed to demonstrate spatial localization of the radical anion on the terminal units of non‐fullerene acceptors.
Junjun Guo +13 more
wiley +1 more source