Results 41 to 50 of about 1,022 (72)
Superelliptic Affine Lie algebras and orthogonal polynomials
Forum of Mathematics, SigmaWe construct two families of orthogonal polynomials associated with the universal central extensions of the superelliptic Lie algebras. These polynomials satisfy certain fourth-order linear differential equations, and one of the families is a particular ...
Felipe Albino dos Santos +2 more
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Mellin transforms with only critical zeros: generalized Hermite functions [PDF]
, 2013 We consider the Mellin transforms of certain generalized Hermite functions based upon certain generalized Hermite polynomials, characterized by a parameter $\mu>-1/2$.
Coffey, Mark W.
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Recurrence coefficients of generalized Charlier polynomials and the fifth Painlev\'e equation
, 2011 We investigate generalizations of the Charlier polynomials on the lattice $\mathbb{N}$, on the shifted lattice $\mathbb{N}+1-\beta$ and on the bi-lattice $\mathbb{N}\cup (\mathbb{N}+1-\beta)$.
Filipuk, Galina, Van Assche, Walter
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Direct and Inverse Spectral Problems for (2N + 1)-Diagonal, Complex, Symmetric, Non-Hermitian Matrices [PDF]
, 2004 2000 Mathematics Subject Classification: 42C05.We give an easy procedure for solving of the direct and the inverse spectral problems for the equation. Guseynov used a procedure of the Gelfand-Levitan type for the case N = 1.
Zagorodnyuk, S.
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Spectral measures with arbitrary Hausdorff dimensions
, 2014 In this paper, we consider spectral properties of Riesz product measures supported on homogeneous Cantor sets and we show the existence of spectral measures with arbitrary Hausdorff dimensions, including non-atomic zero-dimensional spectral measures and ...
Dai, Xin-Rong, Sun, Qiyu
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On associated polynomials and decay rates for birth-death processes [PDF]
, 2001 We consider sequences of orthogonal polynomials and pursue the question of how (partial) knowledge of the orthogonalizing measure for the {\it associated polynomials} can lead to information about the orthogonalizing measure for the original polynomials.
Doorn, E.A. van
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On the leading coefficient of polynomials orthogonal over domains with corners
, 2014 Let $G$ be the interior domain of a piecewise analytic Jordan curve without cusps. Let $\{p_n\}_{n=0}^\infty$ be the sequence of polynomials that are orthonormal over $G$ with respect to the area measure, with each $p_n$ having leading coefficient ...
Miña-Díaz, Erwin
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Spectra of Self-Similar Measures. [PDF]
Entropy (Basel), 2022 Cao YS, Deng QR, Li MT.
europepmc +1 more source
Open problem in orthogonal polynomials
, 2018 Using an algebraic method for solving the wave equation in quantum mechanics, we encountered a new class of orthogonal polynomials on the real line. It consists of a four-parameter polynomial with continuous spectrum on the whole real line and two of its
Alhaidari, A. D.
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