[PDF] Top 20 Convolution Properties of Classes of Analytic and Meromorphic Functions

... where g is a fixed function and h is a suitably normalized function with positive real part. In particular, let S ∗ h : S ∗ z/1 − z, h and Kh : S ∗ z/1 − z 2 , h. For hz 1 1 − 2αz/1 − z, 0 ≤ α < 1, S ∗ h and Kh are, ... See full document

... distortion properties, the radii of starlikeness and convexity, subordination theorems, partial sums and integral mean inequalities for classes of functions with two fixed ... See full document

... Sivasubramanian, “A coefficient inequality for certain classes of analytic functions of complex order,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Karunakaran, “On a cl[r] ... See full document

... of meromorphic functions defined by means of convolution with a given fixed meromorphic function are introduced in Section ...classical classes of meromorphic starlike, convex, ... See full document

... of analytic functions in the open unit disk U {z ∈ C : |z| < 1} with the usual normalization f0 f 0 − 1 ...are analytic in U, we say that f is subordinate to g, written f ≺ g or f z ≺ gz, if there ... See full document

... Let Pi be a pole of f { z ) of order k and let D\ = D ( p i,r i) , > 0. It is easy to see th a t f ( D i ) is a neighbourhood of 00. Since pi is a k-fo\d pole of f { z ) , for sufficiently small there is a ... See full document

... A meromorphic function is a single-valued function that is analytic in all but possibly a discrete subset of its domain, and at those singularities it must go to infinity like a polynomial ...a ... See full document

... This paper deals with the extreme points of closed convex hulls of the classes of multivalent functions related to Ruscheweyh derivatives and then these are used to determine the coeffic[r] ... See full document

... distortion properties and the radii of starlikeness and convexity, and partial sums for the classes of meromorphic functions with varying argument of ... See full document

... The study of operators plays a vital role in the geometric function theory and its associated fields. Many differential and integral operators can be written in terms of convolution of certain analytic ... See full document

... the classes S(, γ ) = S(γ ) and K(, γ ) = K(γ ) are said to be classes of starlike and con- vex of complex order γ =  in which were considered by Nasr and Aouf [] and Wia- trowski [] (see also [, ... See full document

... inclusion properties of certain classes of analytic functions associated with a family of linear operators which are defined by means of the Hadamard product (or ...invariant properties ... See full document

... new classes of meromorphic spiral-like functions de…ned by using a meromorphic analogue of the Choi-Saigo-Srivastava operator for the generalized hypergeometric function and investigate a ... See full document

... The classes T j n,m,λ,α are generalizations of the classes i T1 0,1,0,α and T1 1,1,0,α defined and studied by Silverman [12] these classes are the class of starlike functions with negati[r] ... See full document

... are analytic functions in U , we say that f is subordinate to g, written f ≺ g if there exists a Schwarz function w, which (by definition) is analytic in U with w(0) = 0 and |w(z)| < 1 for all z ∈ ... See full document

... of meromorphic functions which were defined by means of the Hadamard product of the Cho-Kwon-Srivastava operator, we define here a similar transformation by means of the Ghanim and Darus ...the ... See full document

... [13] D. Z. Pashkouleva, The starlikeness and spiral-convexity of certain sub- classes of analytic functions, in: H. M. Srivastava and S. Owa (Editors), Current Topics in Anaytic Function Theory, pp. ... See full document

... z I λ,μ n f (z) = μI λ,μ+ n f (z) – (μ + )I λ,μ n f (z). (.) The definition (.) of the multiplier transformation I λ,μ n is motivated essentially by the Choi-Saigo-Srivastava operator [] for analytic ... See full document

... familiar convolution structure of analytic functions to introduce two new subclasses of multivalently analytic functions of complex order, and prove several inclusion relationships ... See full document

... multivalently analytic functions of complex order by making use of the familiar convolution structure of analytic ...function classes, we derive the coefficient bounds, distortion ... See full document