Polynomial solutions of differential-difference equations

DOI10.1016/j.jat.2009.05.010zbMath1219.33009arXiv0902.0041OpenAlexW1967971826MaRDI QIDQ619074

Kerstin Jordaan, Kathy A. Driver, Diego Ernesto Dominici

Publication date: 21 January 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0041

zbMATH Keywords

Bell polynomialsinterlacing zerosEuler-Frobenius polynomialszeros of polynomial solutions of differential-difference equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (11)

Polynomial sequences associated with the moments of hypergeometric weights ⋮ Zero distribution of polynomials satisfying a differential-difference equation ⋮ On polynomial transformations preserving purely imaginary zeros* ⋮ Zeros of hypergeometric functions in the \(p\)-adic setting ⋮ Interlacing properties of coefficient polynomials in differential operator representations of real-root preserving linear transformations ⋮ Asymptotic distributions of the zeros of certain classes of Gauss hypergeometric polynomials ⋮ Asymptotic distributions of the zeros of certain classes of hypergeometric functions and polynomials ⋮ Monotonicity of zeros of polynomials orthogonal with respect to an even weight function ⋮ An asymptotic distribution theory for Eulerian recurrences with applications ⋮ Asymptotic normality of the number of corners in tableaux associated with the partially asymmetric simple exclusion process ⋮ Asymptotic distributions of the zeros of a family of hypergeometric polynomials

Cites Work

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• Separation theorems for the zeros of certain hypergeometric polynomials
• Single variable Bell polynomials
• On the roots of orthogonal polynomials and Euler-Frobenius polynomials
• A unified approach to polynomial sequences with only real zeros
• Derivative Polynomials for Tangent and Secant
• Orthogonality and completeness of \(q\)-Fourier type systems

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