Solved and unsolved problems οn polynomials
Solving Complex Approximation Problems by Semiinfmite - Finite Optimization Techniques : A Study on Convergence.
Solving Theodorsen's Integral Equation for Conformai Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods.
Some applications of a differential subordination.
Some applications of a first order differential subordination.
Some applications of differential subordination to a general class of multivalently analytic functions involving a convolution structure.
Some applications of generalized condensers in the theory of analytic functions.
Some applications of generalized Ruscheweyh derivatives involving a general fractional derivative operator to a class of analytic functions with negative coefficients. I.
Some applications of large sieve in Riemann surfaces
Some applications of Srivastava-Attiya operator to -valent starlike functions.
Some applications of the Briot-Bouquet differential subordination.
Some applications of the generalized Bernardi-Libera-Livingston integral operator on univalent functions.
Some applications of the theorem on rational approximation in the mean
Some aspects of the local theory of generalized Dhombres functional equations in the complex domain
We study the generalized Dhombres functional equation f(zf(z)) = ϕ(f(z)) in the complex domain. The function ϕ is given and we are looking for solutions f with f(0) = w0 and w0 is a primitive root of unity of order l ≥ 2. All formal solutions for this case are described in this work, for the situation where ϕ can be transformed into a function which is linearizable and local analytic in a neighbourhood of zero we also show...
Some Banach spaces of Dirichlet series
The Hardy spaces of Dirichlet series, denoted by (p ≥ 1), have been studied by Hedenmalm et al. (1997) when p = 2 and by Bayart (2002) in the general case. In this paper we study some -generalizations of spaces of Dirichlet series, particularly two families of Bergman spaces, denoted and . Each could appear as a “natural” way to generalize the classical case of the unit disk. We recover classical properties of spaces of analytic functions: boundedness of point evaluation, embeddings between...
Some Bazilevič functions of order beta.
Some Berezin number inequalities for operator matrices
Some characterizations of harmonic Bloch and Besov spaces
The relationship between weighted Lipschitz functions and analytic Bloch spaces has attracted much attention. In this paper, we define harmonic --Bloch space and characterize it in terms of and where is a majorant. Similar results are extended to harmonic little --Bloch and Besov spaces. Our results are generalizations of the corresponding ones in G. Ren, U. Kähler (2005).
Some Characterizations of L-regular Points.
Some classes of alpha-quasi-convex functions.