Bounds for zeros of Meixner and Kravchuk polynomials

DOI10.1112/S1461157013000260zbMath1294.33008OpenAlexW2125970809MaRDI QIDQ5170249

Alta S. Jooste, Kerstin Jordaan

Publication date: 23 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s1461157013000260

zbMATH Keywords

orthogonal polynomialsbounds for the extreme zeros

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (4)

Mehler-Heine type formulas for the Krawtchouk polynomials ⋮ Interlacing of zeros of quasi-orthogonal Meixner polynomials ⋮ Inner bounds for the extreme zeros of ₃F₂ hypergeometric polynomials ⋮ Bounds for the zeros of symmetric Kravchuk polynomials

Cites Work

• Zeros of quasi-orthogonal Jacobi polynomials
• Zeros of generalized Krawtchouk polynomials
• The theorems of Stieltjes and Favard
• Interlacing of zeros of Gegenbauer polynomials of non-consecutive degree from different sequences
• Bounds for extreme zeros of some classical orthogonal polynomials
• Interlacing theorems for the zeros of some orthogonal polynomials from different sequences
• Common zeros of two polynomials in an orthogonal sequence
• Semi-classical character and finite-type relations between polynomial sequences
• Finite sequences of orthogonal polynomials connected by a Jacobi matrix
• A characterization of classical and semiclassical orthogonal polynomials from their dual polynomials
• On classical orthogonal polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Structural Analysis of Complex Networks
• The Zeros of the Hahn Polynomials

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