Partial sums of certain meromorphic -valent functions.
Partial sums of functions of bounded turning.
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...
Pasting together Julia sets: a worked out example of mating.
Pathwise connectivity in uniform domains with small exceptional sets.
Period matrices of Accola-MacLachlan and Kulkarni surfaces.
Periodic automorphisms of surfaces: Invariant circles and maximal orders.
Periodic points and dynamic rays of exponential maps.
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.
Periodic solitons and real algebraic curves.
We describe a method of calculation of all physical algebraic-geometrical solutions of KP-equations.
Periods of harmonic Prym differentials on a compact Riemann surface.
Permutations which avoid 1243 and 2143, continued fractions, and Chebyshev polynomials.
Perturbative computation of analytic invariants of resonant diffeomorphisms of
Pervasive algebras on planar compacts
We characterize compact sets in the Riemann sphere not separating for which the algebra of all functions continuous on and holomorphic on , restricted to the set , is pervasive on .
Phragmén-Lindelöf theorems for subharmonic functions on the unit disk.
Picard Sets for Entire Functions.
Pick functions related to entire functions having negative zeros.
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.