On the logarithmic derivative of some Bazilevic functions.
On the maximum modulus of a polynomial and its derivatives.
On the maximum modulus of polynomials. II.
On the maximum of and some related functionals for bounded real univalent functions
On the maximum value for Zygmund class on an interval.
On the minimal distance of the zeros of a polynomial.
On the -uniformly close to convex functions with respect to a convex domain.
On the Nehari univalence criterion and quasicircles.
On the noncompactness of David classes.
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 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
On the Oscillation of Exponential Polynomials.
On the (p, q)-type and lower (p, q)-type of an entire function.
On the Parametrization of Quasiconformal Mappings with Invariant Boundary Points in an Annulus
On the paths to the zeros of a polynomial.
On the Phragmén-Lindelöf principle for a polyangle
On the proximate order of and
On the quantitative boundary behavior of conformal maps.
On the radius of convexity for a class of conformal maps
Let 𝓐 denote the class of all analytic functions f in the open unit disc 𝔻 in the complex plane satisfying f(0) = 0, f'(0) = 1. Let U(λ) (0 < λ ≤ 1) denote the class of functions f ∈ 𝓐 for which |(z/f(z))²f'(z) -1| < λ for z ∈ 𝔻. The behaviour of functions in this class has been extensively studied in the literature. In this paper, we shall prove that no member of U₀(λ) = {f ∈ U(λ): f''(0) = 0} is convex in 𝔻 for any λ and obtain a lower bound for the...