Results 61 to 70 of about 92,356 (230)
Wilson function transforms related to Racah coefficients [PDF]
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]
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
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
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
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
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
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]
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
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
A projection formula for the Askey-Wilson polynomials and an application [PDF]
Mizan Rahman
openalex +2 more sources