Results 61 to 70 of about 45,130 (244)
Limnology and Oceanography Letters, EarlyView.Abstract Ocean color‐based estimates of Antarctic net primary productivity (NPP) have indicated low nearshore productivity in ice‐adjacent waters, contrasting with coupled physical–biogeochemical models. To understand this discrepancy, we assessed satellite records of polynya NPP by comparing field data with two satellite imagery datasets derived using
Hilde Oliver +4 more
wiley +1 more source
The Universal Askey-Wilson Algebra and DAHA of Type (C_1^∨,C_1)
Symmetry, Integrability and Geometry: Methods and Applications, 2013 Around 1992 A. Zhedanov introduced the Askey-Wilson algebra AW(3). Recently we introduced a central extension $Delta_q$ of AW(3) called the universal Askey-Wilson algebra.
Paul Terwilliger
doaj +1 more source
Properties of some families of hypergeometric orthogonal polynomials in several variables
, 1996 Limiting cases are studied of the Koornwinder-Macdonald multivariable generalization of the Askey-Wilson polynomials. We recover recently and not so recently introduced families of hypergeometric orthogonal polynomials in several variables consisting of ...
van Diejen, Jan F.
core +2 more sources
Casoratian Identities for the Discrete Orthogonal Polynomials in Discrete Quantum Mechanics with Real Shifts [PDF]
, 2017 In our previous papers, the Wronskian identities for the Hermite, Laguerre and Jacobi polynomials and the Casoratian identities for the Askey-Wilson polynomial and its reduced form polynomials were presented.
Odake, Satoru
core +3 more sources
TEOS10 compliant salinity and density equations for sound speed instruments
Limnology and Oceanography: Methods, EarlyView.Abstract TEOS‐10 compliant equations are presented for the direct calculation of salinity, density, and Sigma0 from triplets of temperature, pressure, and sound speed for marine and estuarine waters. The 73, 71, and 71 term, respectively, 6th‐order equations, are valid over an environmental range of 0–40°C in situ temperature, 0–6000 dBar pressure, and
J. T. Allen +5 more
wiley +1 more source
The Universal Askey-Wilson Algebra
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension Δ of AW, obtained from AW by reinterpreting certain parameters as central elements in ...
Paul Terwilliger
doaj +1 more source
Factorization of colored knot polynomials at roots of unity
Physics Letters B, 2015 HOMFLY polynomials are the Wilson-loop averages in Chern–Simons theory and depend on four variables: the closed line (knot) in 3d space–time, representation R of the gauge group SU(N) and exponentiated coupling constant q.
Ya. Kononov, A. Morozov
doaj +1 more source
Bivariate Bannai-Ito polynomials
, 2018 A two-variable extension of the Bannai-Ito polynomials is presented. They are obtained via $q\to-1$ limits of the bivariate $q$-Racah and Askey-Wilson orthogonal polynomials introduced by Gasper and Rahman. Their orthogonality relation is obtained. These
Lemay, Jean-Michel, Vinet, Luc
core +1 more source
Exceptional Askey-Wilson type polynomials through Darboux-Crum transformations [PDF]
, 2010 An alternative derivation is presented of the infinitely many exceptional Wilson and Askey-Wilson polynomials, which were introduced by the present authors in 2009.
Andrews G E +19 more
core +4 more sources
Torus Knot Polynomials and Susy Wilson Loops [PDF]
Letters in Mathematical Physics, 2014 We give, using an explicit expression obtained in [V. Jones, Ann. of Math. 126, 335 (1987)], a basic hypergeometric representation of the HOMFLY polynomial of $(n,m)$ torus knots, and present a number of equivalent expressions, all related by Heine's transformations. Using this result the $(m,n)\leftrightarrow (n,m)$ symmetry and the leading polynomial
Miguel Tierz, Georgios Giasemidis
openaire +4 more sources