Common and interlacing zeros of families of Laguerre~polynomials
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Publication:2339502
DOI10.1016/j.jat.2013.11.013zbMath1312.33027OpenAlexW1990057087MaRDI QIDQ2339502
Martin E. Muldoon, Kathy A. Driver
Publication date: 1 April 2015
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2013.11.013
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)
Related Items (9)
Biorthogonality and para-orthogonality of \(R_I\) polynomials ⋮ Interlacing properties and bounds for zeros of \({}_2\phi_1\) hypergeometric and little \(q\)-Jacobi polynomials ⋮ Zeros of quasi-orthogonal Jacobi polynomials ⋮ A review of operational matrices and spectral techniques for fractional calculus ⋮ The fate of Landau levels under \(\delta\)-interactions ⋮ Interlacing properties and bounds for zeros of some quasi-orthogonal Laguerre polynomials ⋮ Interlacing of zeros of Laguerre polynomials of equal and consecutive degree ⋮ Nonreal zeros of polynomials in a polynomial sequence satisfying a three-term recurrence relation ⋮ Sharp parameter intervals for interlacing of zeros of equal degree Laguerre polynomials
Uses Software
Cites Work
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- Zeros of quasi-orthogonal Jacobi polynomials
- The theorems of Stieltjes and Favard
- Interlacing of the zeros of Jacobi polynomials with different parameters
- Interlacing of the zeros of contiguous hypergeometric functions
- Asymptotics and bounds for the zeros of Laguerre polynomials: A survey
- Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials
- Sul comportamente asintotico dell'n -esimo polinomio di Laguerre nell'intorno dell'ascissa 4n
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