Zariski's Main Theorem für affinoide Kurven.
Zero distribution of sequences of classical orthogonal polynomials.
Zero distributions via orthogonality
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.
Zero estimates on group varieties II.
Zeros and Growth of Entire Functions of Order 1 and Maximal Type With an Application to the Random Signs Problem.
Zeros and local extreme points of Faber polynomials associated with hypocycloidal domains.
Zeros and poles of Dirichlet series
Under certain mild analytic assumptions one obtains a lower bound, essentially of order , for the number of zeros and poles of a Dirichlet series in a disk of radius . 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.
Zeros of power series and connectedness loci for self-affine sets.
Zeros of a certain class of Gauss hypergeometric polynomials
We prove that as , the zeros of the polynomial 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 and partially proves a conjecture made by the authors in an earlier work.
Zeros of derivatives of strictly non-real meromorphic functions.
Zeros of eigenfunctions of some anharmonic oscillators
We study complex zeros of eigenfunctions of second order linear differential operators with real even polynomial potentials. For potentials of degree 4, we prove that all zeros of all eigenfunctions belong to the union of the real and imaginary axes. For potentials of degree 6, we classify eigenfunctions with finitely many zeros, and show that in this case too, all zeros are real or pure imaginary.
Zeros of functions in spaces
Zeros of sections of the binomial expansion.
Zeros of Sequences of Partial Sums and Overconvergence
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....
Zeros of smallest modulus of functions resembling exp(z).
Zeros of Solutions and Their Derivatives of Higher Order Non-homogeneous Linear Differential Equations
This paper is devoted to studying the growth and oscillation of solutions and their derivatives of higher order non-homogeneous linear differential equations with finite order meromorphic coefficients. Illustrative examples are also treated.
Zeros of solutions of certain higher order linear differential equations
We investigate the exponent of convergence of the zero-sequence of solutions of the differential equation , (1) where , P₁(z),P₂(z),P₃(z) are polynomials of degree n ≥ 1, Q₁(z),Q₂(z),Q₃(z), (j=1,..., k-1) are entire functions of order less than n, and k ≥ 2.
Zeros of Strongly Annular Functions.