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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On Jacobi and continuous Hahn polynomials [PDF]
, 1994 Jacobi polynomials are mapped onto the continuous Hahn polynomials by the Fourier transform and the orthogonality relations for the continuous Hahn polynomials then follow from the orthogonality relations for the Jacobi polynomials and the Parseval formula.
Erik Koelink
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Quantum Systems Associated with the Hahn and Continuous Hahn Polynomials
Reports on Mathematical Physics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. D. Alhaidari, Yutian Li
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GLOBAL ASYMPTOTICS OF THE HAHN POLYNOMIALS [PDF]
Analysis and Applications, 2013 In this paper, we study the asymptotics of the Hahn polynomials Qn(x; α, β, N) as the degree n grows to infinity, when the parameters α and β are fixed and the ratio of n/N = c is a constant in the interval (0, 1). Uniform asymptotic formulas in terms of Airy functions and elementary functions are obtained for z in three overlapping regions, which ...
Lin, Yu, Wong, R.
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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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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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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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The generalized Hahn polynomials
, 2015 In this paper, we represent the generalized Hahn polynomials ?(a)n (x, y) by the Cauchy operator for deriving its identities: generating function, Mehler’s formula, Rogers formula (with some of its applications), Rogers-type formula, extended generating function, extended Mehler’s formula, extended Rogers formula and another extended identities.
Mohammed A. Abdlhusein
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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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