New class of p-valently harmonic meromorphic functions

2006 ◽  
pp. 1659-1667
Author(s):  
K. Al Shaqsi ◽  
M. Darus
Keyword(s):  
Meromorphic Functions ◽  
New Class

scholarly journals On certain classes of meromorphically starlike functions

1995 ◽  
Vol 18 (3) ◽  
pp. 463-467
Author(s):  
Nak Eun Cho ◽  
Ji A. Kim
Keyword(s):  
Meromorphic Functions ◽  
Starlike Functions ◽  
New Class ◽  
Multiplier Transformation

The object of the present paper is to introduce a new class∑n(α)of meromorphic functions defined by a multiplier transformation and to investigate some properties for the class∑n(α)Further we study integrals of functions in∑n(α).

A subclass of meromorphic functions defined by a certain integral operator on Hilbert space

2017 ◽  
Vol 26 (2) ◽  
pp. 115-124
Author(s):  
Arzu Akgül
Keyword(s):  
Hilbert Space ◽  
Integral Operator ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Extreme Points ◽  
Space Operator ◽  
Integral Means ◽  
New Class ◽  
Coefficient Inequality ◽  
Hilbert Space Operator

In the present paper, we introduce and investigate a new class of meromorphic functions associated with an integral operator, by using Hilbert space operator. For this class, we obtain coefficient inequality, extreme points, radius of close-to-convex, starlikeness and convexity, Hadamard product and integral means inequality.

scholarly journals On Janowski Type Harmonic Meromorphic Functions with respect to Symmetric Point

2021 ◽  
Vol 2021 ◽  
pp. 1-5
Author(s):  
Muhammad Ghaffar Khan ◽  
Bakhtiar Ahmad ◽  
Maslina Darus ◽  
Wali Khan Mashwani ◽  
Shahid Khan
Keyword(s):  
Extreme Point ◽  
Point Theorem ◽  
Harmonic Functions ◽  
Meromorphic Functions ◽  
Convex Combination ◽  
Geometric Properties ◽  
New Class ◽  
Symmetric Point ◽  
Weighted Means ◽  
Distortion Bound

In this paper, we define a new class of Sakaguchi type-meromorphic harmonic functions in the Janowski domain that are starlike with respect to symmetric point. Furthermore, we investigate some important geometric properties like sufficiency criteria, distortion bound, extreme point theorem, convex combination, and weighted means.

scholarly journals An old new class of meromorphic functions

2018 ◽  
Vol 134 (2) ◽  
pp. 615-641
Author(s):  
Norbert Steinmetz
Keyword(s):  
Meromorphic Functions ◽  
New Class

scholarly journals On a New Class ofp-Valent Meromorphic Functions Defined in Conic Domains

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
Mohammed Ali Alamri ◽  
Maslina Darus
Keyword(s):  
Hypergeometric Function ◽  
Meromorphic Functions ◽  
Starlike Functions ◽  
Closure Properties ◽  
New Class ◽  
Conic Domain ◽  
Class Of Functions

We define a new class of multivalent meromorphic functions using the generalised hypergeometric function. We derived this class related to conic domain. It is also shown that this new class of functions, under certain conditions, becomes a class of starlike functions. Some results on inclusion and closure properties are also derived.

scholarly journals NEW SUBCLASS OF MEROMORPHIC FUNCTIONS BY THE GENERALIZATION OF THE q-DERIVATIVE OPERATOR

2021 ◽  
pp. 1461
Author(s):  
Mohammad Hassn Golmohammadi ◽  
Shahram Najafzadeh ◽  
Mohammad Reza Forutan
Keyword(s):  
Linear Combination ◽  
Meromorphic Functions ◽  
Extreme Points ◽  
Coefficient Estimates ◽  
Derivative Operator ◽  
Partial Sum ◽  
New Class ◽  
Convex Linear Combination

In this paper, we introduce a new  class of meromorphic functions, using the exponent $ q $-derivative operator, and then look at it coefficient estimates, extreme points, convex linear combination, Radii of starlikeness, convexity and finally partial sum property are investigated.

scholarly journals A new hierarchy of integrable systems associated to Hurwitz spaces

2007 ◽  
Vol 366 (1867) ◽  
pp. 1055-1088 ◽  
Author(s):  
A Kokotov ◽  
D Korotkin
Keyword(s):  
Integrable Systems ◽  
Riemann Surfaces ◽  
Meromorphic Functions ◽  
Natural Generalization ◽  
Critical Values ◽  
Genus Zero ◽  
Hurwitz Spaces ◽  
New Class ◽  
Systems Of Hydrodynamic Type

In this paper, we introduce a new class of integrable systems, naturally associated to Hurwitz spaces (spaces of meromorphic functions over Riemann surfaces). The critical values of the meromorphic functions play the role of ‘times’. Our systems give a natural generalization of the Ernst equation; in genus zero, they realize the scheme of deformation of integrable systems proposed by Burtsev, Mikhailov and Zakharov. We show that any solution of these systems in rank 1 defines a flat diagonal metric (Darboux–Egoroff metric) together with a class of corresponding systems of hydrodynamic type and their solutions.

scholarly journals On certain meromorphic functions with positive coefficients

1993 ◽  
Vol 16 (2) ◽  
pp. 409-412 ◽  
Author(s):  
Young Chang Kim ◽  
Sang Hun Lee ◽  
Shigeyoshi Owa
Keyword(s):  
Meromorphic Functions ◽  
New Class ◽  
Positive Coefficients

In this paper, we introduce a new classTP(α)of meromorphic functions with positive coefficients inD={z:0<|z|<1}. The aim of the present paper is to prove some properties for the classTp(α).

scholarly journals A New Class of Meromorphic Functions Associated with Spirallike Functions

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Lei Shi ◽  
Zhi-Gang Wang ◽  
Jing-Ping Yi
Keyword(s):  
Integral Representation ◽  
Meromorphic Functions ◽  
New Class ◽  
Coefficient Inequalities ◽  
Spirallike Functions ◽  
Subordination Property

We introduce a new class of meromorphic functions associated with spirallike functions. Such results as subordination property, integral representation, convolution property, and coefficient inequalities are proved.

Sign in / Sign up

Export Citation Format

Share Document