Separation theorems for the zeros of certain hypergeometric polynomials

DOI10.1016/j.cam.2005.05.039zbMath1106.33003OpenAlexW1964031410MaRDI QIDQ849603

Kerstin Jordaan, Kathy A. Driver

Publication date: 31 October 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.05.039

zbMATH Keywords

separation resultscontiguous hypergeometric polynomialsinterlacing zeros of hypergeometric polynomials

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (11)

Interlacing properties and bounds for zeros of \({}_2\phi_1\) hypergeometric and little \(q\)-Jacobi polynomials ⋮ Polynomial solutions of differential-difference equations ⋮ Asymptotic distributions of the zeros of certain classes of Gauss hypergeometric polynomials ⋮ Interlacing of zeros of shifted sequences of one-parameter orthogonal 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 ⋮ Interlacing of zeros of orthogonal polynomials under modification of the measure ⋮ Interlacing of the zeros of Jacobi polynomials with different parameters ⋮ Interlacing of the zeros of contiguous hypergeometric functions ⋮ Interlacing Property of Zeros of Shifted Jacobi Polynomials ⋮ Asymptotic distributions of the zeros of a family of hypergeometric polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Zeros of \(_3F_2\left(\begin{smallmatrix}-n,b,c\\ d,e\end{smallmatrix};z\right)\) polynomials
• Convergence of ray sequences of Padé approximants for₂f₁(a, 1;c;z), (c>a> 0)
• Generating Functions for Bessel and Related Polynomials
• Zeros of \({}_3 F_2\) hypergeoemtric polynomials

This page was built for publication: Separation theorems for the zeros of certain hypergeometric polynomials