Necessary and sufficient coefficient bounds and convolution condition for certain multivalent harmonic functions whose convolution with generalized hypergeometric functions is starlike of order γ are investigated. Results on extreme points, convex combination and distortion bounds using the coefficient condition are also obtained. 2010 Mathematics Subject Classification: 30C45, 30C50

Abstract. In this paper we define and verify a subclass of harmonic univalent functions involving the argument of complex-value functions of the form f = h + ¯g and investigate some properties of this subclass e.g. necessary and sufficient coefficient bounds, extreme points, distortion bounds and Hadamard product.Abstract. In this paper we define and verify a subclass of harmonic univalent func...

In this paper, we define a class R h p,m,β associated with convolution of p-valent analytic functions. Some properties in the form of coefficient inequality, growth and distortion bounds, sufficient conditions with the help of various lemmas, integral means inequality for convolution of two functions and a set of class preserving integral operators of functions belonging to this class are studi...

Keywords: Analytic functions Starlike and convex functions Multivalent functions Hadamard product (or convolution) Coefficient bounds Distortion inequalities Neighborhood properties Non-homogeneous Cauchy–Euler differential equations a b s t r a c t In this paper, by making use of the familiar concept of neighborhoods of p-valently analytic functions, we prove coefficient bounds, distortion ine...

In this paper, we introduce a family of harmonic parabolic starlike functions of complex order in the unit disc and coefficient bounds, distortion bounds, extreme points, convolution conditions and convex combination are determined for functions in this family. Further results on integral transforms are discussed. Consequently, many of our results are either extensions or new approaches to thos...

In this paper, we introduce a new class of p-valent harmonic functions defined by an integral operator. Coefficient inequalities, distortion bounds for the functions belonging to this class are obtained. The invariance of the class Hp(n, α) under convolution, convex linear combination and also under generalized Bernardi-Libera Livingston integral operator are discussed. 2000 Mathematics Subject...

Making use of a convolution structure, we introduce a new class of analytic functions defined in the open unit disc and investigate coefficient estimates, distortion bounds and the results on integral transform. Further we investigate the neighbourhood results and partial sums. 2000 Mathematics Subject Classification: 30C45.

The purpose of the present paper is to study some results involving coefficient conditions, extreme points, distortion bounds, convolution conditions and convex combination for a new class of harmonic multivalent functions in the open unit disc. Relevant connections of the results presented here with various known results are briefly indicated.

Making use of convolution product, we introduce a unified class of spiral-like functions and obtain the coefficient bounds, extreme points and radius of starlikeness for functions belonging to the generalized class Pλ μ (α, β, γ). Furthermore, Distortion theorems for the fractional derivative and fractional integration are obtained. Also we get result about coefficient inequality.

The purpose of the present paper is to establish some results involving coefficient conditions, distortion bounds, extreme points, convolution, convex combinations and neighborhoods for a new class of harmonic univalent functions in the open unit disc. We also discuss a class preserving integral operator. Relevant connections of the results presented here with various known results are briefly ...