Results 11 to 20 of about 27,109 (94)
The Bivariate Rogers-Szeg\"{o} Polynomials [PDF]
, 2006 We present an operator approach to deriving Mehler's formula and the Rogers formula for the bivariate Rogers-Szeg\"{o} polynomials $h_n(x,y|q)$. The proof of Mehler's formula can be considered as a new approach to the nonsymmetric Poisson kernel formula ...
Al-Salam W A +17 more
core +2 more sources
The Bannai-Ito algebra and some applications [PDF]
, 2014 The Bannai-Ito algebra is presented together with some of its applications. Its relations with the Bannai-Ito polynomials, the Racah problem for the sl_{−1}(2) algebra, a superintegrable model with reflections and a Dirac-Dunkl equation on the 2-sphere ...
De Bie, Hendrik +4 more
core +3 more sources
A Crowd-Assisted Real-time Public Transport Information Service: No More Endless Wait [PDF]
, 2016 Many passengers have expressed frustration in waiting for public bus endlessly without knowing the estimated ar- rival time. In many developing countries, requiring bus operators to invest in the installation of a GPS unit on every bus in order to track ...
Keoh, Sye Loong +3 more
core +1 more source
Locally quasi-nilpotent elementary operators [PDF]
, 2013 Let $A$ be a unital dense algebra of linear mappings on a complex vector space $X$. Let $\phi=\sum_{i=1}^n M_{a_i,b_i}$ be a locally quasi-nilpotent elementary operator of length $n$ on $A$.
Boudi, Nadia, Mathieu, Martin
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The CMV bispectral problem [PDF]
, 2016 A classical result due to Bochner classifies the orthogonal polynomials on the real line which are common eigenfunctions of a second order linear differential operator. We settle a natural version of the Bochner problem on the unit circle which answers a
Grünbaum, F. A., Velázquez, L.
core +3 more sources
${\mathcal D}$-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization [PDF]
, 2015 The ${\mathcal D}$-pseudo-boson formalism is illustrated with two examples. The first one involves deformed complex Hermite polynomials built using finite-dimensional irreducible representations of the group ${\rm GL}(2,{\mathbb C})$ of invertible $2 ...
Ali, S. Twareque +2 more
core +3 more sources
Askey-Wilson Type Functions, With Bound States
, 2003 The two linearly independent solutions of the three-term recurrence relation of the associated Askey-Wilson polynomials, found by Ismail and Rahman in [22], are slightly modified so as to make it transparent that these functions satisfy a beautiful ...
A. Kasman +36 more
core +1 more source
, 2005 We present theoretical analysis and first-principles calculation of the radiative lifetime of excitons in semiconducting carbon nanotubes. An intrinsic lifetime of the order of 10 ps is computed for the lowest optically active bright excitons.
A. Fetter +6 more
core +1 more source
Thinking inside the box: why the World Bank is not learning [PDF]
, 2009 An analysis of how the World Bank has maintained a position supportive of multinational strategies for privatisation of ...
Hall, David, Lobina, Emanuele
core
Electric dipole moments of the nucleon and light nuclei
, 2013 The electric dipole moments of the nucleon and light ions are discussed and strategies for disentangling the underlying sources of CP violation beyond the Kobayashi-Maskawa quark-mixing mechanism of the Standard Model are indicated.
Wirzba, Andreas
core +1 more source