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EN
In this paper, we determine the coefficient estimates and the Fekete-Szegö inequalities for [wzór], the class of analytic and univalent functions associated with quasi-subordination.
2
Content available remote Non linear differential polynomials sharing fixed points with finite weights
EN
We employ the notion of weighted sharing to investigate the uniqueness of meromorphic functions when two nonlinear differential polynomials share fixed points. The results of the paper improve and generalize the recent results due to Xu–Lu–Yi [10].
3
Content available remote Some applications of differential subordination to a class of analytic functions
EN
We introduce (and investigate various properties and characteristics of) certain class Hn (A, B) of analytic functions in the open unit disc by using the techniques of Briot-Bouquet differential subordination. Relevant connections of the results obtained here with the earlier works are pointed out.
EN
In this paper, we determine the general solution of the functional equation f(ux+vy, uy+vx) = g(x, y) h(u, v) where f, g, h: R2 -R are unknown functions. We also treat the equation f(ux + vy, uy + vx, zw) = g(x, y, z) h(u, v, w) where f,g, h : R3 -R are unknown functions. Our method is elementary and we do not use any regularity conditions.
EN
The object of the present paper is to introduce two subclasses Bk,p (a, c) and Ck,p (a, c) of analytic functions in the open unit disc involving a linear operator [...] (a, c) and derive some properties of these classes.
EN
The object of the present paper is to investigate some properties and characteristics of the subclasses summation n,p (alpha) and [...]n,p (alpha) of meromorphically p-valent functions in the annulus U ={z :0 <\z\ <1}. We also study certain integrals of functions belonging to these classes.
EN
In this paper, we introduce and study some classes of analytic functions in the unit disk. Comparable results, results concerning the Quasi-Hadamard product and distortion theorems involving fractional calculus of functions belonging to the class are obtained.
9
Content available remote On the stability of a mean value type functional equation
EN
In this paper, we prove the stability results of a mean value type functional equation, namely f (x) - g{y) = (x - y)h(x 4- y) which arises from the mean value theorem.
EN
In the paper some properties of the Hadamard product of functions from the special subclasses of meromorphic functions with nonnegative Laurent coefficients denned in the punctured unit disc are investigated.
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