On the Multiplicity of an Analytic Operator-Valued Function.
On the -uniformly close to convex functions with respect to a convex domain.
On the Nehari univalence criterion and quasicircles.
On the Neumann-Poincaré operator
Let be a rectifiable Jordan curve in the finite complex plane which is regular in the sense of Ahlfors and David. Denote by the space of all complex-valued functions on which are square integrable w.r. to the arc-length on . Let stand for the space of all real-valued functions in and put Since the Cauchy singular operator is bounded on , the Neumann-Poincaré operator sending each into is bounded on . We show that the inclusion characterizes the circle in the class of all...
On the Nevanlinna direction of quasi-meromorphic mapping dealing with multiple values.
On the Nevanlinna's theory for vector-valued mappings.
On the noncompactness of David classes.
On the Non-Vanishing of Certain Poincaré Series.
On the norm of certain weighted composition operators on the Hardy space.
On the normal meromorphic functions.
On the Normality of Derivatives of Functions.
On the number of coincidences of morphisms between closed Riemann surfaces.
We give a bound for the number of coincidence of two morphisms between given compact Riemann surfaces (complete complex algebraic curves). Our results generalize well known facts about the number of fixed points of an automorphism.
On the number of ovals of a symmetry of a compact Riemann surfaces.
On the number of zeros of iterated operators on analytic Legendre expansions.
On the numerical solution of the multidimensional singular integrals and integral equations, used in the theory of linear viscoelasticity.
On the order and type of entire Dirichlet series
On the order of convolution consistence of the analytic functions with negative coefficients
Making use of a modified Hadamard product, or convolution, of analytic functions with negative coefficients, combined with an integral operator, we study when a given analytic function is in a given class. Following an idea of U. Bednarz and J. Sokół, we define the order of convolution consistence of three classes of functions and determine a given analytic function for certain classes of analytic functions with negative coefficients.
On the Order of Growth of Meromorphic Solutions of First-Order Differential Equations.
On the order of starlikeness and convexity of complex harmonic functions with a two-parameter coefficient condition
The article of J. Clunie and T. Sheil-Small [3], published in 1984, intensified the investigations of complex functions harmonic in the unit disc Δ. In particular, many papers about some classes of complex mappings with the coefficient conditions have been published. Consideration of this type was undertaken in the period 1998-2004 by Y. Avci and E. Złotkiewicz [2], A. Ganczar [5], Z. J. Jakubowski, G. Adamczyk, A. Łazińska and A. Sibelska [1], [8], [7], H. Silverman [12] and J. M. Jahangiri [6],...
On the orders of zero of certain functions