Results 21 to 30 of about 634 (218)
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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Fourier Transform of the Orthogonal Polynomials on the Unit Ball and Continuous Hahn Polynomials
Axioms, 2022 Some systems of univariate orthogonal polynomials can be mapped into other families by the Fourier transform. The most-studied example is related to the Hermite functions, which are eigenfunctions of the Fourier transform.
Esra Güldoğan Lekesiz +2 more
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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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Asymptotic approximations of the continuous Hahn polynomials and their zeros [PDF]
Journal of Approximation Theory, 2019 Asymptotic approximations for the continuous Hahn polynomials and their zeros as the degree grows to infinity are established via their three-term recurrence relation. The methods are based on the uniform asymptotic expansions for difference equations developed by Wang and Wong (\textit{Numer.
Lihua Cao, Yutian Li, Yu Lin
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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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A Hahn-Banach theorem for integral polynomials [PDF]
Proceedings of the American Mathematical Society, 1999 Summary: We study the problem of extendibility of polynomials over Banach spaces: when can a polynomial defined over a Banach space be extended to a polynomial over any larger Banach space? To this end, we identify all spaces of polynomials as the topological duals of a space \(S\) spanned by evaluations, with Hausdorff locally convex topologies.
Ignacio Zalduendo, Daniel Carando
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The Weyl algebra, spherical harmonics, and Hahn polynomials [PDF]
Banach Center Publications, 2002 13 pages, uses bcp01e ...
Ewa Gnatowska, Aleksander Strasburger
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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 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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