Search

In this paper, using q − derivative operator, we define the class Σ q , v ∗ (n , α , β , λ) of meromorphic univalent functions and obtain coefficient estimates, distortion, closure theorems, modified Hadamard products, some radii for functions in this class and family of integral operators. Further, we determine partial sums results. [ABSTRACT FROM AUTHOR]

Here in our paper, we present two new subclasses of multivalent analytic functions and complex order by using q–p-valent Cătaş operator. Also we obtain coefficient estimates and consequent inclusion relationships involving the N i , δ p , q (f) -neighbourhood of these classes. [ABSTRACT FROM AUTHOR]

Making use of the Dziok-Srivastava operator, we introduce two classes of analytic functions and investigate convolution properties of these classes. Using convolution properties, we find the necessary and sufficient condition, coefficient estimate and inclusion properties of them. [ABSTRACT FROM AUTHOR]

In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of p-valent functions involving a linear operator. Some of our results generalize previously known results. [ABSTRACT FROM AUTHOR]

Let [image omitted] denote the class of analytic functions f = {f1, f2, ... , fs} on the unit disk U satisfying [image omitted] where [image omitted] and [image omitted] is the extended Ruscheweyh derivative defined by [image omitted] and h is convex univalent in U with h(0) = 1. Also let F = {F1, F2, ... , Fs}, where [image omitted] It is proved that [image omitted] whenever [image omitted] and also that [image omitted] Three more such classes denoted by [image omitted], [image omitted] and [image omitted] are introduced and studied here by subordination methods and convolutions. [ABSTRACT FROM AUTHOR]

In this article, we introduce and investigate various properties of a certain class of analytic p-valent functions defined by using the Sălăgean differential operator and sharp subordination results. [ABSTRACT FROM AUTHOR]