Zeros of Transformed Polynomials

DOI10.1137/0521026zbMath0698.33007OpenAlexW1991016303MaRDI QIDQ3475559

Arieh Iserles, Syvert P. Nørsett

Publication date: 1990

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0521026

zbMATH Keywords

basic hypergeometric seriesbi-orthogonal polynomials

Mathematics Subject Classification ID

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) Real polynomials: location of zeros (26C10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (9)

Explicit representations of biorthogonal polynomials ⋮ Pólya-Schur master theorems for circular domains and their boundaries ⋮ Biorthogonal polynomials: Recent developments ⋮ Hermite multiplier sequences and their associated operators ⋮ On transformations and zeros of polynomials ⋮ Biorthogonal polynomials and zero-mapping transformations ⋮ Integral representations for the Dirichlet L-functions and their expansions in Meixner–Pollaczek polynomials and rising factorials† ⋮ On some zero-increasing operators ⋮ Orthogonal polynomial expansions for the Riemann xi function in the Hermite, Meixner--Pollaczek, and continuous Hahn bases

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