Certain subclass of analytic functions. II.
Certain subclass of harmonic prestarlike functions in the parabolic region.
Certain subclasses of analytic functions defined by a family of linear operators
Certain subclasses of analytic functions with negative coefficients defined by generalized Sălăgean operator.
Certain subclasses of Bazilevich functions of type .
Certain subclasses of close-to-convex and quasi-convex functions with respect to -symmetric points.
Certain subclasses of convex functions with positive and missing coefficients by using a fixed point.
Certain subclasses of Valent meromorphic functions involving certain operator.
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...