Results 81 to 90 of about 45,205 (253)
A Relativistic Conical Function and its Whittaker Limits
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In previous work we introduced and studied a function R(a+,a−,c;v,vˆ) that is a generalization of the hypergeometric function _2F_1 and the Askey-Wilson polynomials.
Simon Ruijsenaars
doaj +1 more source
Giant Wilson loops and AdS2/dCFT1
Journal of High Energy Physics, 2020 The 1/2-BPS Wilson loop in N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory is an important and well-studied example of conformal defect. In particular, much work has been done for the correlation functions of operator insertions on the Wilson ...
Simone Giombi +2 more
doaj +1 more source
Generalized Dyck tilings (Extended Abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Recently, Kenyon and Wilson introduced Dyck tilings, which are certain tilings of the region between two Dyck paths. The enumeration of Dyck tilings is related with hook formulas for forests and the combinatorics of Hermite polynomials. The first goal of
Matthieu Josuat-Vergès, Jang Soo Kim
doaj +1 more source
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Ernest G. Kalnins +2 more
doaj +1 more source
Generalized Bochner theorem: Characterization of the Askey–Wilson polynomials
Journal of Computational and Applied Mathematics, 2006 Assume that there is a set of monic polynomials $P_n(z)$ satisfying the second-order difference equation $$ A(s) P_n(z(s+1)) + B(s) P_n(z(s)) + C(s) P_n(z(s-1)) = _n P_n(z(s)), n=0,1,2,..., N$$ where $z(s), A(s), B(s), C(s)$ are some functions of the discrete argument $s$ and $N$ may be either finite or infinite. The irreducibility condition $A(s-1)C(
Luc Vinet, Alexei Zhedanov
openalex +4 more sources
, 2019 Via the solutions of systems of algebraic equations of Bethe Ansatz type, we arrive at bounds for the zeros of orthogonal (basic) hypergeometric polynomials belonging to the Askey-Wilson, Wilson and continuous Hahn families.Comment: 21 pages ...
Emsiz, E., van Diejen, J. F.
core +1 more source
Plasmonic Mesoporous Gold‐Based SERS Biosensor for Ovarian Cancer‐Derived Extracellular Vesicles
Small, EarlyView.The nanoengineered mesoporous gold (mAu)‐based SERS platform enables rapid, sensitive detection of PLAP‐positive extracellular vesicles (EVs) in ovarian cancer (OC), with detection limits as low as 100 EVs mL−1. Achieving over 80% sensitivity and 98% specificity in clinical samples, this cost‐effective, non‐invasive tool shows promise for early cancer ...
Javeria Bashir +16 more
wiley +1 more source
Behavioural responses of brown bears to helicopter capture
Wildlife Biology, EarlyView.Understanding the effects of capture and handling on wild animals is crucial in evaluating ethical practices in ecological research, and in avoiding biased conclusions from misinterpreting biologging data potentially affected by capture. The aim of this study was to assess the effects of helicopter capture on the behaviour of Scandinavian brown bears ...
Alexandra Thiel +9 more
wiley +1 more source
Symmetry, 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
Advances 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