Bounds for zeros of Meixner and Kravchuk polynomials
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Publication:5170249
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
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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