Estimations of the second coefficient of a univalent, bounded, symmetric and non-vanishing function by means of Loewner's parametric method
Étude des intégrales abéliennes de troisième espèce
Etude sur les propriétés des fonctions entières et en particulier d'une fonction considérée par Riemann
Étude sur les séries entières par rapport à plusieurs variables imaginaires indépendantes
Euclidean quasiconvexity.
Euler-Seidel matrices. (Matrices d'Euler-Seidel.)
Euler-Summierbarkeit konform-äquivalenter Reihen.
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.
Evaluation of the Fermi-Dirac integral of half-integer order
Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials
2000 Mathematics Subject Classification: 12D10.In the present paper we consider degree 6 hyperbolic polynomials (HPs) in one variable (i.e. real and with all roots real). We are interested in such HPs whose number of equalities between roots of the polynomial and/or its derivatives is higher than expected. We give the complete study of the four families of such degree 6 even HPs and also of HPs which are primitives of degree 5 HPs.Research partially supported by research project 20682 for cooperation...
Even coefficient estimates for bounded univalent functions
Extremal coefficient properties of Pick functions are proved. Even coefficients of analytic univalent functions f with |f(z)| < M, |z| < 1, are bounded by the corresponding coefficients of the Pick functions for large M. This proves a conjecture of Jakubowski. Moreover, it is shown that the Pick functions are not extremal for a similar problem for odd coefficients.
Eventual positivity for analytic functions.
Exact asymptotics of nonlinear difference equations with levels and
We study a class of nonlinear difference equations admitting a -Gevrey formal power series solution which, in general, is not - (or Borel-) summable. Using right inverses of an associated difference operator on Banach spaces of so-called quasi-functions, we prove that this formal solution can be lifted to an analytic solution in a suitable domain of the complex plane and show that this analytic solution is an accelero-sum of the formal power series.
Exact coefficient estimates for univalent functions with quasiconformal extension.
Exactness of the approximation of subharmonic function by the logarithm of the modulus of an analytic function in the Chebyshev metric.
Exceptional sets, subordination, and functions of uniformly bounded characteristic.
Exceptional values of a meromorphic function and its derivatives
Exceptional Values of Entire and Meromorphic Functions.
Exceptional values of linear combinations of the derivatives of a meromorphic function
Exceptional values of meromorphic functions