Results 61 to 70 of about 92,356 (230)

Wilson function transforms related to Racah coefficients [PDF]

open access: yesActa Appl. Math. 91 (2006), no. 2, 133--191, 2005
The irreducible $*$-representations of the Lie algebra $su(1,1)$ consist of discrete series representations, principal unitary series and complementary series. We calculate Racah coefficients for tensor product representations that consist of at least two discrete series representations.
arxiv  

Further study on elliptic interpolation formulas for the elliptic Askey-Wilson polynomials and allied identities [PDF]

open access: yesarXiv, 2020
In this paper, we introduce the so-called elliptic Askey-Wilson polynomials which are homogeneous polynomials in two special theta functions. With regard to the significance of polynomials of such kind, we establish some general elliptic interpolation formulas by the methods of matrix inversions and of polynomial representations.
arxiv  

The Relationship between Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
Zhedanov's algebra AW(3) is considered with explicit structure constants such that, in the basic representation, the first generator becomes the second order q-difference operator for the Askey-Wilson polynomials. It is proved that this representation is
Tom H. Koornwinder
doaj  

Duality Identities for Moduli Functions of Generalized Melvin Solutions Related to Classical Lie Algebras of Rank 4

open access: yesAdvances in Mathematical Physics, 2018
We consider generalized Melvin-like solutions associated with nonexceptional Lie algebras of rank 4 (namely, A4, B4, C4, and D4) corresponding to certain internal symmetries of the solutions.
S. V. Bolokhov, V. D. Ivashchuk
doaj   +1 more source

On universal quantum dimensions

open access: yesNuclear Physics B, 2017
We represent in the universal form restricted one-instanton partition function of supersymmetric Yang–Mills theory. It is based on the derivation of universal expressions for quantum dimensions (universal characters) of Cartan powers of adjoint and some ...
R.L. Mkrtchyan
doaj   +1 more source

Composites of an epoxy and two‐dimensional boron nitride nanosheets (BNNS) as a coating for efficient thermal management of electronic devices

open access: yesPolymer 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

The Omics‐Driven Machine Learning Path to Cost‐Effective Precision Medicine in Chronic Kidney Disease

open access: yesPROTEOMICS, 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

The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type [PDF]

open access: yes, 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

Biodiversity–food trade‐offs when agricultural land is spared from production

open access: yesAmerican Journal of Agricultural Economics, EarlyView.
Abstract Biodiversity conservation in agricultural landscapes, the world's predominant land use, could involve sparing, or setting aside, agricultural land from production, implying biodiversity–food trade‐offs. Employing bird species and agricultural data in two panel data sets, we evaluate the extent of set‐aside's trade‐offs in England between 1992 ...
Charles Palmer   +3 more
wiley   +1 more source

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