Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
Nuclear Physics B, 2019 An operator of Heun-Askey-Wilson type is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and the generic case, the corresponding eigenstates are constructed in the form of ...
Pascal Baseilhac, Rodrigo A. Pimenta
doaj
Spectral Analysis of Certain Schrödinger Operators
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The J-matrix method is extended to difference and q-difference operators and is applied to several explicit differential, difference, q-difference and second order Askey-Wilson type operators.
Mourad E.H. Ismail, Erik Koelink
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Terminating Basic Hypergeometric Representations and Transformations for the Askey-Wilson Polynomials. [PDF]
Symmetry (Basel), 2020 Cohl HS, Costas-Santos RS, Ge L.
europepmc +1 more source
World Englishes, EarlyView.Abstract This research article presents an analysis of four (semi‐)modals of necessity/obligation (must, (have) got to, have to and need to) in four CMC registers (comments, tweets, web forums and websites) originating from four South Asian countries (Bangladesh, India, Pakistan and Sri Lanka) along with the United Kingdom and United States.
Muhammad Shakir
wiley +1 more source
Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive [PDF]
arXiv, 2019 Motivated by the study of Macdonald polynomials, J. Haglund and A. Wilson introduced a nonsymmetric polynomial analogue of the chromatic quasisymmetric function called the \emph{chromatic nonsymmetric polynomial} of a Dyck graph. We give a positive expansion for this polynomial in the basis of fundamental slide polynomials using recent work of Assaf ...
arxiv
Beta-integrals and finite orthogonal systems of Wilson polynomials [PDF]
, 2002 Yury A. Neretin
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Leukoaraiosis Is Not Associated With Recovery From Aphasia in the First Year After Stroke. [PDF]
Neurobiol Lang (Camb), 2023 Brito AC +8 more
europepmc +1 more source
The Askey-Wilson polynomials and q-Sturm-Lioville problems [PDF]
arXiv, 1994 We find the adjoint of the Askey-Wilson divided difference operator with respect to the inner procuct on L^2(-1,1,(1-x^2)^-1/2 dx) defined as a Cauchy principle value and show that the Askey-Wilson polynomials are solutions of a q-Sturm-Liouville problem.
arxiv
Chemical shift and relaxation regularization improve the accuracy of 1H MR spectroscopy analysis
Magnetic Resonance in Medicine, Volume 93, Issue 6, Page 2287-2296, June 2025.Abstract Purpose Accurate analysis of metabolite levels from 1H MRS data is a significant challenge, typically requiring the estimation of approximately 100 parameters from a single spectrum. Signal overlap, spectral noise, and common artifacts further complicate the analysis, leading to instability and reports of poor agreement between different ...
Martin Wilson
wiley +1 more source
Investigating the Association Between Companionship and Behavior Concordance: A Dyadic Panel Study
Personal Relationships, Volume 32, Issue 2, June 2025.ABSTRACT Partners in romantic relationships influence each other's behaviors through various social exchange processes. One underexplored process that is assumed to be relevant for couples' behaviors is companionship. Companionship is defined as experiencing pleasurable social interactions or engaging in shared activities for the purpose of having an ...
Patrick S. Höhener +4 more
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