Partial sums of functions of bounded turning.
Partial sums of some meromorphic functions.
Partial sums of Taylor series on a circle
We characterize the power series with the geometric property that, for sufficiently many points , , a circle contains infinitely many partial sums. We show that is a rational function of special type; more precisely, there are and , such that, the sequence , , is periodic. This result answers in the affirmative a question of J.-P. Kahane and furnishes stronger versions of the main results of [Katsoprinakis, Arkiv for Matematik]. We are led to consider special families of circles with...
Pathwise connectivity in uniform domains with small exceptional sets.
Periodic quasiregular mappings of finite order.
The authors construct a periodic quasiregular function of any finite order p, 1 < p < infinity. This completes earlier work of O. Martio and U. Srebro.
Perturbative computation of analytic invariants of resonant diffeomorphisms of
Phragmén-Lindelöf theorems for subharmonic functions on the unit disk.
Pick-Nevanlinna interpolation on finitely-connected domains
Let Ω be a domain in the complex plane bounded by m+1 disjoint, analytic simple closed curves and let be n+1 distinct points in Ω. We show that for each (n+1)-tuple of complex numbers, there is a unique analytic function B such that: (a) B is continuous on the closure of Ω and has constant modulus on each component of the boundary of Ω; (b) B has n or fewer zeros in Ω; and (c) , 0 ≤ j ≤ n.
Planar harmonic univalent and related mappings.
Plücker relations for p(e...).
Point estimation and the convergence of the Ehrlich-Aberth method.
Point shift differentials and extremal quasiconformal mappings.
Point Systems with Extremal Properties and Conformal Mapping.
Pointwise inequalities of logarithmic type in Hardy-Hölder spaces
We prove some optimal logarithmic estimates in the Hardy space with Hölder regularity, where is the open unit disk or an annular domain of . These estimates extend the results established by S. Chaabane and I. Feki in the Hardy-Sobolev space of the unit disk and those of I. Feki in the case of an annular domain. The proofs are based on a variant of Hardy-Landau-Littlewood inequality for Hölder functions. As an application of these estimates, we study the stability of both the Cauchy problem...
Polarization, conformal invariants and Brownian motion.
Polya's theorem for non-entire functions
Polynômes à coefficients unimodulaires sur le cercle unité
Polynômes quadratiques et attracteur de Hénon
Polynomial Growth along Jordan Arcs.
Polynomials of Maximal Index.