Grassmann graphs, degenerate DAHA, and non-symmetric dual q-Hahn polynomials [PDF]
Linear Algebra and its Applications, 2019 Jae-Ho Lee
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A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 In this paper, a new orthogonal system of nonpolynomial basis functions is introduced and used to solve a class of time-fractional partial differential equations that have nonsmooth solutions.
N. Mollahasani
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Krylov complexity and orthogonal polynomials
Nuclear Physics B, 2022 Krylov complexity measures operator growth with respect to a basis, which is adapted to the Heisenberg time evolution. The construction of that basis relies on the Lanczos algorithm, also known as the recursion method.
Wolfgang Mück, Yi Yang
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On Jacobi and continuous Hahn polynomials [PDF]
Proceedings of the American Mathematical Society, 1996 The inter-relation between the Jacobi polynomials and the continuous Hahn polynomials via the Fourier transform is exploited to deduce the orthogonality relation of the latter from that of the former and the use of Parseval's relation. This is an additional independent case of the proof of this important relation whereby the general theory of special ...
H.T. Koelink, H.T. Koelink
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Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz
SciPost Physics Proceedings, 2023 The computation of the entanglement entropy for inhomogeneous free fermions chains based on $q$-Racah polynomials is considered. The eigenvalues of the truncated correlation matrix are obtained from the diagonalization of the associated Heun operator via
Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampé, Luc Vinet
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Quantum communication through a spin chain with interaction determined by a Jacobi matrix [PDF]
, 2009 We obtain the time-dependent correlation function describing the evolution of a single spin excitation state in a linear spin chain with isotropic nearest-neighbour XY coupling, where the Hamiltonian is related to the Jacobi matrix of a set of orthogonal
Chakrabarti, R., Van der Jeugt, J.
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Fourier Transforms of Some Special Functions in Terms of Orthogonal Polynomials on the Simplex and Continuous Hahn Polynomials [PDF]
Bulletin of the Iranian Mathematical Society, 2020 In this paper, Fourier transform of multivariate orthogonal polynomials on the simplex is presented. A new family of multivariate orthogonal functions is obtained using the Parseval’s identity and several recurrence relations are derived.
E. Güldoğan Lekesiz +2 more
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Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials [PDF]
, 2020 A new solvable two-dimensional spin lattice model defined on a regular grid of triangular shape is proposed. The hopping amplitudes between sites are related to recurrence coefficients of certain bivariate dual-Hahn polynomials.
H. Miki, S. Tsujimoto, L. Vinet
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Some homogeneous q-difference operators and the associated generalized Hahn polynomials [PDF]
Applied Set-Valued Analysis and Optimization, 2019 In this paper, we first construct the homogeneous $q$-shift operator $\widetilde{E}(a,b;D_{q})$ and the homogeneous $q$-difference operator $\widetilde{L}(a,b; \theta_{xy})$. We then apply these operators in order to represent and investigate generalized
H. Srivastava, S. Arjika, A. Kelil
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Moments of generalized Cauchy random matrices and continuous-Hahn polynomials [PDF]
, 2020 In this paper we prove that, after an appropriate rescaling, the sum of moments EN(s)Tr|H|2k+2+|H|2k of an N × N Hermitian matrix H sampled according to the generalized Cauchy (also known as Hua–Pickrell) ensemble with parameter s > 0 is a continuous ...
T. Assiotis +3 more
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