Certain subclasses of -valently close-to-convex functions.
Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function
Making use of the Hurwitz-Lerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by TSμ/b (α, β, γ) and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for the class TSμ/b (α, β, γ). In particular, we obtain integral means inequalities for the function f(z) belongs to the class TSμ/b (α, β,...
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.