Results 21 to 30 of about 619 (209)
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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On Jacobi and continuous Hahn polynomials [PDF]
Proceedings of the American Mathematical Society, 1996 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.
H.T. Koelink, H.T. Koelink
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European Journal of Personality, EarlyView., 2020 Abstract Few studies have examined birth order effects on personality in countries that are not Western, educated, industrialized, rich, and democratic (WEIRD). However, theories have generally suggested that interculturally universal family dynamics are the mechanism behind birth order effects, and prominent theories such as resource dilution would ...
Laura J. Botzet +2 more
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A discrete orthogonal polynomials approach for fractional optimal control problems with time delay [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 An efficient direct and numerical method has been proposed to approximate a solution of time-delay fractional optimal control problems. First, a class of discrete orthogonal polynomials, called Hahn polynomials, has been introduced and their properties ...
F. Mohammadi
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Coupling coefficients of suq(1,1) and multivariate q-Racah polynomials
Nuclear Physics B, 2018 Gasper & Rahman's multivariate q-Racah polynomials are shown to arise as connection coefficients between families of multivariate q-Hahn or q-Jacobi polynomials. The families of q-Hahn polynomials are constructed as nested Clebsch–Gordan coefficients
Vincent X. Genest +2 more
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The Cauchy Operator and the Homogeneous Hahn Polynomials [PDF]
American Journal of Applied Mathematics, 2021 The Cauchy operator plays important roles in the theory of basic hypergeometric series. As some applications, our purpose is mainly to show new proofs of the Mehler’s formula, the Rogers formula and the generating function for the homogeneous Hahn polynomials Φ(α)n(x,y|q)) by making use of the Cauchy operator and its properties.
Xinhao Huang, Zhizheng Zhang, Qiuxia Hu
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A Non-Standard Generating Function for Continuous Dual $q$-Hahn polynomials
Revista de Matemática: Teoría y Aplicaciones, 2011 We study a non-standard form of generating function for the three-parameter continuous dual q-Hahn polynomials $p_{n} (x; a, b, | q)$, which has surfaced in a recent work of the present authors on the construction of lifting $q$-difference operators in ...
Mesuma Atakishiyeva, Natig Atakishiyev
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Laguerre–Freud Equations for the Gauss Hypergeometric Discrete Orthogonal Polynomials
Mathematics, 2023 The Cholesky factorization of the moment matrix is considered for the Gauss hypergeometric discrete orthogonal polynomials. This family of discrete orthogonal polynomials has a weight with first moment given by ρ0=2F1a,bc+1;η.
Itsaso Fernández-Irisarri +1 more
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The modification of classical hahn polynomials of a discrete variable [PDF]
Integral Transforms and Special Functions, 1995 We consider a modi cation of moment functionals for the Hahn classical polynomials of a discrete variable by adding two mass points at the ends of the interval, i.e., in x = 0 and x = N 1. We obtain the resulting orthogonal polynomials and identify them as hypergeometric functions.
Álvarez Nodarse, Renato +1 more
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