Results 31 to 40 of about 90,721 (207)
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
wiley +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Extensions of discrete classical orthogonal polynomials beyond the orthogonality [PDF]
, 2007 It is well known that the family of Hahn polynomials $\{h_n^{\alpha,\beta}(x;N)\}_{n\ge 0}$ is orthogonal with respect to a certain weight function up to $N$.
Alfaro +17 more
core +8 more sources
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
doaj +1 more source
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
doaj +1 more source
Quantum state transfer in spin chains with q-deformed interaction terms [PDF]
, 2010 We study the time evolution of a single spin excitation state in certain linear spin chains, as a model for quantum communication. Some years ago it was discovered that when the spin chain data (the nearest neighbour interaction strengths and the ...
Chakrabarti R +7 more
core +3 more sources
Some results on biorthogonal polynomials
International Journal of Mathematics and Mathematical Sciences, 1994 Some biorthogonal polynomials of Hahn and Pastro are derived using a polynomial modification of the Lebesgue measure dθ combined with analytic continuation. A result is given for changing the measures of biorthogonal polynomials on the unit circle by the
Richard W. Ruedemann
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A Survey on q-Polynomials and their Orthogonality Properties [PDF]
, 2010 In this paper we study the orthogonality conditions satisfied by the classical q-orthogonal polynomials that are located at the top of the q-Hahn tableau (big q-jacobi polynomials (bqJ)) and the Nikiforov-Uvarov tableau (Askey-Wilson polynomials (AW ...
Alfaro +21 more
core +1 more source