Elementarer Beweis für die Darstellbarkeit der elliptischen Functionen als Quotienten beständig convergenter Potenzreihen
Elementární důkaz zobecnění Kakeyovy věty na mocninnou řadu
Entire Functions with Maximum Deficiency Sum and their Means.
Erratum for the paper "On extensions of the Laurent's theorem in the functional calculus with applications to the generation of higer transcendental functions"
Essai sur l'étude des fonctions données par leur développement de Taylor
Eventual positivity for analytic functions.
Existence des valeurs limites du produit d'Hadamard
From Taylor to quadratic Hermite-Padé polynomials.
Gap orders of meromorphic functions on Riemann surfaces.
Gap Series and Normal Functions.
Gap Series with Rapid Growth in the Unit Disc.
Gap-interpolation theorems for entire functions.
General Lambert series
Growth functions and Euler series.
Growth of solutions to higher order linear homogeneous differential equations in angular domains.
Holomorphic series expansion of functions of Carleman type
Let f be a holomorphic function of Carleman type in a bounded convex domain D of the plane. We show that f can be expanded in a series f = ∑ₙfₙ, where fₙ is a holomorphic function in Dₙ satisfying for some constants C > 0 and 0 < ϱ < 1, and where (Dₙ)ₙ is a suitably chosen sequence of decreasing neighborhoods of the closure of D. Conversely, if f admits such an expansion then f is of Carleman type. The decrease of the sequence Dₙ characterizes the smoothness of f.
Identitätssätze für Laurentreihen.
Invertible elements in a convolution algebra of holomorphic functions.
-behaviour of the integral means of analytic functions
Lacunary series in spaces
Under mild conditions on the weight function K we characterize lacunary series in the so-called spaces.