Whitney-type theorems on extension of functions on Carnot groups.
Widom factors for the Hilbert norm
Given a probability measure μ with non-polar compact support K, we define the n-th Widom factor W²ₙ(μ) as the ratio of the Hilbert norm of the monic n-th orthogonal polynomial and the n-th power of the logarithmic capacity of K. If μ is regular in the Stahl-Totik sense then the sequence has subexponential growth. For measures from the Szegő class on [-1,1] this sequence converges to some proper value. We calculate the corresponding limit for the measure that generates the Jacobi polynomials, analyze...
Wiman and Arima theorems for quasiregular mappings.
Yet another characterization of the sine function.
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 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).
Zum Fundamentalsatz der Algebra.
Zum Parallelschlitztheorm unendlich- vielfach zusammenhängender Gebiete