New class of p-valently harmonic meromorphic functions

2006 ◽  
pp. 1659-1667
Author(s):  
K. Al Shaqsi ◽  
M. Darus
1995 ◽  
Vol 18 (3) ◽  
pp. 463-467
Author(s):  
Nak Eun Cho ◽  
Ji A. Kim

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).


2017 ◽  
Vol 26 (2) ◽  
pp. 115-124
Author(s):  
Arzu Akgül

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.


2021 ◽  
Vol 2021 ◽  
pp. 1-5
Author(s):  
Muhammad Ghaffar Khan ◽  
Bakhtiar Ahmad ◽  
Maslina Darus ◽  
Wali Khan Mashwani ◽  
Shahid Khan

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.


2018 ◽  
Vol 134 (2) ◽  
pp. 615-641
Author(s):  
Norbert Steinmetz

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
Mohammed Ali Alamri ◽  
Maslina Darus

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.


Author(s):  
Mohammad Hassn Golmohammadi ◽  
Shahram Najafzadeh ◽  
Mohammad Reza Forutan

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.


Author(s):  
A Kokotov ◽  
D Korotkin

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.


1993 ◽  
Vol 16 (2) ◽  
pp. 409-412 ◽  
Author(s):  
Young Chang Kim ◽  
Sang Hun Lee ◽  
Shigeyoshi Owa

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).


2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Lei Shi ◽  
Zhi-Gang Wang ◽  
Jing-Ping Yi

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.


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