Results 121 to 130 of about 134,453 (218)
The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type [PDF]
, 2018 The Heun-Askey-Wilson algebra is introduced through generators $\{\boX,\boW\}$ and relations. These relations can be understood as an extension of the usual Askey-Wilson ones. A central element is given, and a canonical form of the Heun-Askey-Wilson algebra is presented.
arxiv +1 more source
Bispectral extensions of the Askey–Wilson polynomials
Journal of Functional Analysis, 2014 Following the pioneering work of Duistermaat and Gr nbaum, we call a family $\{p_n(x)\}_{n=0}^{\infty}$ of polynomials bispectral, if the polynomials are simultaneously eigenfunctions of two commutative algebras of operators: one consisting of difference operators acting on the degree index $n$, and another one of operators acting on the variable $x$.
openaire +2 more sources
Scalar blocks as gravitational Wilson networks
Journal of High Energy Physics, 2018 In this paper we continue to develop further our prescription [ arXiv:1602.02962 ] to holographically compute the conformal partial waves of CFT correlation functions using the gravitational open Wilson network operators in the bulk.
Atanu Bhatta +2 more
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
The Wilson function transform [PDF]
Int. Math. Res. Not. 2003, no. 52, 2779--2817, 2003 Two unitary integral transforms with a very-well poised $_7F_6$-function as a kernel are given. For both integral transforms the inverse is the same as the original transform after an involution on the parameters. The $_7F_6$-function involved can be considered as a non-polynomial extension of the Wilson polynomial, and is therefore called a Wilson ...
arxiv
Polymer International, EarlyView.BNNS easily disperses in an epoxy resin and when coated on to a printed circuit board is an effective thermal interface material decreasing device operating temperature by 57 °C. Abstract Efficient thermal management is an increasingly important factor in the development of future electronic devices where operating speed, device lifespan and safety are
Will Owens +6 more
wiley +1 more source
Journal of High Energy Physics, 2020 We study a set of CFT operators suitable for reconstructing a charged bulk scalar field ϕ in AdS3 (dual to an operator O $$ \mathcal{O} $$ of dimension ∆ in the CFT) in the presence of a conserved spin-n current in the CFT.
Daniel Kabat, Gilad Lifschytz
doaj +1 more source
, 2015 The Racah problem for the quantum superalgebra $\mathfrak{osp}_{q}(1|2)$ is considered. The intermediate Casimir operators are shown to realize a $q$-deformation of the Bannai-Ito algebra.
Genest, Vincent X. +2 more
core +1 more source
PROTEOMICS, EarlyView.ABSTRACT Chronic kidney disease (CKD) poses a significant and growing global health challenge, making early detection and slowing disease progression essential for improving patient outcomes. Traditional diagnostic methods such as glomerular filtration rate and proteinuria are insufficient to capture the complexity of CKD.
Marta B. Lopes +9 more
wiley +1 more source
Degenerations of Sklyanin algebra and Askey-Wilson polynomials
Journal of Physics A: Mathematical and General, 1993 A new trigonometric degeneration of the Sklyanin algebra is found and the functional realization of its representations in space of polynomials in one variable is studied. A further contraction gives the standard quantum algebra $U_{q}(sl(2))$. It is shown that the degenerate Sklyanin algebra contains a subalgebra isomorphic to algebra of functions on ...
A. V. Zabrodin, A. S. Gorsky
openaire +3 more sources