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Zero distribution of sequences of classical orthogonal polynomials.

Simeonov, Plamen (2003)

Abstract and Applied Analysis

Zero distributions via orthogonality

Laurent Baratchart, Reinhold Küstner, Vilmos Totik (2005)

Annales de l’institut Fourier

We develop a new method to prove asymptotic zero distribution for different kinds of orthogonal polynomials. The method directly uses the orthogonality relations. We illustrate the procedure in four cases: classical orthogonality, non-Hermitian orthogonality, orthogonality in rational approximation of Markov functions and its non- Hermitian variant.

Zero Estimates on Group Varieties I.

D.W. Masser, G. Wüstholz (1981)

Inventiones mathematicae

Zero estimates on group varieties II.

D.W. Masser, G. Wüstholz (1985)

Inventiones mathematicae

Zeros and Growth of Entire Functions of Order 1 and Maximal Type With an Application to the Random Signs Problem.

Carl. D. Offner (1980)

Mathematische Zeitschrift

Zeros and local extreme points of Faber polynomials associated with hypocycloidal domains.

Eiermann, Michael, Varga, Richard S. (1993)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Zeros and poles of Dirichlet series

Enrico Bombieri, Alberto Perelli (2001)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Under certain mild analytic assumptions one obtains a lower bound, essentially of order $r$ , for the number of zeros and poles of a Dirichlet series in a disk of radius $r$ . A more precise result is also obtained under more restrictive assumptions but still applying to a large class of Dirichlet series.

Zéros communs de plusieurs polynômes exponentielles.

A.J. POORTEN van der (1974/1975)

Seminaire de Théorie des Nombres de Bordeaux

Zeros of ${- 1, 0, 1}$ power series and connectedness loci for self-affine sets.

Shmerkin, Pablo, Solomyak, Boris (2006)

Experimental Mathematics

Zeros of a certain class of Gauss hypergeometric polynomials

Addisalem Abathun, Rikard Bøgvad (2018)

Czechoslovak Mathematical Journal

We prove that as $n \to \infty$ , the zeros of the polynomial $_{2} F_{1} [\begin{matrix} - n, α n + 1 \\ α n + 2 \end{matrix}; z]$ cluster on (a part of) a level curve of an explicit harmonic function. This generalizes previous results of Boggs, Driver, Duren et al. (1999–2001) to the case of a complex parameter $α$ and partially proves a conjecture made by the authors in an earlier work.

Zeros of functions in $D^{p, α}$ spaces

M. Jevtić (1981)

Matematički Vesnik

Zeros of sections of the binomial expansion.

Janson, Svante, Norfolk, Timothy S. (2009)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Zeros of Sequences of Partial Sums and Overconvergence

Kovacheva, Ralitza K. (2008)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 30B40, 30B10, 30C15, 31A15.We are concerned with overconvergent power series. The main idea is to relate the distribution of the zeros of subsequences of partial sums and the phenomenon of overconvergence. Sufficient conditions for a power series to be overconvergent in terms of the distribution of the zeros of a subsequence are provided, and results of Jentzsch-Szegö type about the asymptotic distribution of the zeros of overconvergent subsequences are stated....

Currently displaying 1 – 18 of 18