Certain subclasses of the class of typically real functions
Certain subclasses of uniformly starlike and convex functions defined by convolution with negative coefficients
Certain subclasses of uniformly starlike and convex functions defined by convolution.
Certain sufficiency conditions on Gaussian hypergeometric functions.
Certain sufficient conditions for a subclass of analytic functions associated with Hohlov operator
Certain sufficient conditions for strongly starlike functions associated with an integral operator.
Certain sufficient conditions for univalence.
Change of Variables in a Multiple Integral for Local Fields.
Chapitre VII. Démonstration du théorème fondamental
Characteres and Galois invariants of regular dessins.
We describe a new invariant for the action of the absolute Galois groups on the set of Grothendieck dessins. It uses the fact that the automorphism groups of regular dessins are isomorphic to automorphism groups of the corresponding Riemman surfaces and define linear represenatations of the space of holomorphic differentials. The characters of these representations give more precise information about the action of the Galois group than all previously known invariants, as it is shown by a series...
Characteristic Exponents of Rational Functions
We consider two characteristic exponents of a rational function f:ℂ̂ → ℂ̂ of degree d ≥ 2. The exponent is the average of log∥f’∥ with respect to the measure of maximal entropy. The exponent can be defined as the maximal characteristic exponent over all periodic orbits of f. We prove that if and only if f(z) is conformally conjugate to .
Characteristic function of a meromorphic function and its derivative
Characteristic functional equations of polynomials and the Morera-Carleman theorem.
Characteristic of quasispheres in terms of quasiconformal homogeneity.
Characterization and subordination properties associated with a certain class of functions.
Characterization of bases in the space of entire Dirichlet series of order zero
Characterization of linear functionals associated with bilinear forms of Sobolev type.
Characterization of polynomials using reflection coefficients.
Characterization of the collapsing meromorphic products.
Characterization of the convolution operators on quasianalytic classes of Beurling type that admit a continuous linear right inverse
Extending previous work by Meise and Vogt, we characterize those convolution operators, defined on the space of (ω)-quasianalytic functions of Beurling type of one variable, which admit a continuous linear right inverse. Also, we characterize those (ω)-ultradifferential operators which admit a continuous linear right inverse on for each compact interval [a,b] and we show that this property is in fact weaker than the existence of a continuous linear right inverse on .