Einige Sätze über nichtfortsetzbare Potenzreihen.
Elementarer Beweis für die Darstellbarkeit der elliptischen Functionen als Quotienten beständig convergenter Potenzreihen
Elementární důkaz zobecnění Kakeyovy věty na mocninnou řadu
Entire functions of bounded index over non-Archimedean field
Entire Functions with Maximum Deficiency Sum and their Means.
Entwicklung der Functionen einer complexen Variabeln nach Lamé'schen Functionen und nach Zugeordneten der Kugelfunctionen. (Mit einer lithogr. Tafel)
Ergodic Universality Theorems for the Riemann Zeta-Function and other -Functions
We prove a new type of universality theorem for the Riemann zeta-function and other -functions (which are universal in the sense of Voronin’s theorem). In contrast to previous universality theorems for the zeta-function or its various generalizations, here the approximating shifts are taken from the orbit of an ergodic transformation on the real line.
Errata: Maximum modulus function of derivatives of entire functions defined by Dirichlet series
Erratum for “Generalized dirichlet series and -functions”
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
Essential norms of weighted composition operators on the space of Dirichlet series
We estimate the essential norm of a weighted composition operator relative to the class of Dunford-Pettis operators or the class of weakly compact operators, on the space of Dirichlet series. As particular cases, we obtain the precise value of the generalized essential norm of a composition operator and of a multiplication operator.
Estimation of polynomial roots by continued fractions
Estimation over curves of the functions given by Dirichlet series on a half-plane.
Evaluation of the Fermi-Dirac integral of half-integer order
Eventual positivity for analytic functions.
Excursions of diffusion processes and continued fractions
It is well-known that the excursions of a one-dimensional diffusion process can be studied by considering a certain Riccati equation associated with the process. We show that, in many cases of interest, the Riccati equation can be solved in terms of an infinite continued fraction. We examine the probabilistic significance of the expansion. To illustrate our results, we discuss some examples of diffusions in deterministic and in random environments.
Exemples de fonctions à espaces lacunaires
Existence des valeurs limites du produit d'Hadamard
Expansion of analytic functions in series of classical orthogonal polynomials