Sur un algorithme algébrique
Sur un mode de développement en série des fonctions algébriques explicites
Sur une classe de fonctions non uniformes
Taylor Series of the Natural Powers of the Pick Function and Applications
The analytic fixed point function. II.
The Bohr inequality for ordinary Dirichlet series
We extend to the setting of Dirichlet series previous results of H. Bohr for Taylor series in one variable, themselves generalized by V. I. Paulsen, G. Popescu and D. Singh or extended to several variables by L. Aizenberg, R. P. Boas and D. Khavinson. We show in particular that, if with , then and even slightly better, and , C being an absolute constant.
The coefficients of the Laurent expansion of analytic functions
The generalized monotonicity class and integrability of power series
The aim of this paper is to obtain a generalization of W. A. Woyczyński and B. Ram results concerning integrability of power series in terms of their coefficients for the class GM of general monotonic sequences.
The generalized weighted probability measure on the symmetric group and the asymptotic behavior of the cycles
The goal of this paper is to analyse the asymptotic behaviour of the cycle process and the total number of cycles of weighted and generalized weighted random permutations which are relevant models in physics and which extend the Ewens measure. We combine tools from combinatorics and complex analysis (e.g. singularity analysis of generating functions) to prove that under some analytic conditions (on relevant generating functions) the cycle process converges to a vector of independent Poisson variables...
The maximum term of a power series.
The remainder term of the Taylor expansion for a holomorphic function is representable in Lagrange form.
The Taylor series and growth of means.
The value-distribution of lacunary series and a conjecture of Paley
The purpose of this paper is to establish a theorem which answers a conjecture of Paley on the distribution of values of Hadamard lacunary series and which is useful to study the Peano curve property of such series.
Théorèmes généraux sur les points singuliers des fonctions données par une série de Taylor
Theorems on the Convergence of Series in Generalized Lommel-Wright Functions
Mathematics Subject Classification: 30B10, 30B30; 33C10, 33C20The classical Cauchy-Hadamard, Abel and Tauber theorems provide useful information on the convergence of the power series in complex plane. In this paper we prove analogous theorems for series in the generalized Lommel-Wright functions with 4 indices. Results for interesting special cases of series involving Bessel, Bessel-Maitland, Lommel and Struve functions, are derived.We provide also a new asymptotic formula for the generalized ...
Über die Fortsetzung analytischer Funktionen.
Über die Koeffizientensummen einiger Klassen von Potenzreihen
Über eine Defekt- und Verzweigungsrelation für die Ableitung meromorpher Funktionen.
Über eine Fragestellung von Gaier und Meyer-König.
Über gewisse nichtfortsetzbare Potenzreihen.