Paper's Title:

On a Class of Uniformly Convex Functions Defined by Convolution with Fixed Coefficient

Author(s):

T. N. Shanmugam, S. Sivasubramanian, and G. Murugusundaramoorthy

Department of Mathematics,
College of Engineering,
Anna University,
Chennai - 600 025,
India.
 drtns2001@yahoo.com

 Department of Mathematics,
University College of Engineering,
Tindivanam
Anna University-Chennai,
Saram-604 703,
India.
sivasaisastha@rediffmail.com

 School of Sciences and Humanities,
VIT University, Vellore-632 014,
India.
gmsmoorthy@yahoo.com

Abstract:

We define a new subclass of uniformly convex functions with negative and fixed second coefficients defined by convolution. The main object of this paper is to obtain coefficient estimates distortion bounds, closure theorems and extreme points for functions belong to this new class . The results are generalized to families with fixed finitely many coefficients.

Paper's Title:

Classes of Meromorphic p-valent Parabolic Starlike Functions with Positive Coefficients

Author(s):

S. Sivaprasad Kumar, V. Ravichandran, and G. Murugusundaramoorthy

Department of Applied Mathematics
Delhi College of Engineering,
Delhi 110042, India
sivpk71@yahoo.com

School of Mathematical Sciences
Universiti Sains Malaysia
11800 USM Penang
Malaysia
vravi@cs.usm.my
URL: http://cs.usm.my/~vravi

Department of Mathematics
Vellore Institute of Technology (Deemed University)
Vellore 632 014, India
gmsmoorthy@yahoo.com

Abstract:

In the present paper, we consider two general subclasses of meromorphic p-valent starlike functions with positive coefficients and obtain a necessary and sufficient condition for functions to be in these classes. Also we obtain certain other related results as a consequences of our main results.

Paper's Title:

p-valent Meromorphic Functions Involving Hypergeometric and Koebe Functions by Using Differential Operator

Author(s):

S. Najafzadeh, S. R. Kulkarni and G. Murugusundaramoorthy

Department of Mathematics,
Fergusson College, Pune University,
Pune - 411004,
India.
Najafzadeh1234@yahoo.ie
kulkarni_ferg@yahoo.com

Abstract:

New classes of multivalent meromorphic functions involving hypergeometric and Koebe functions are introduced,we find some properties of these classes e.g. distortion bounds, radii of starlikeness and convexity, extreme points, Hadamard product and verify effect of some integral operator on members of these classes.

Paper's Title:

Coefficient Estimates Of Sakaguchi Kind Functions Using Lucas Polynomials

Author(s):

H. Priya and B. Srutha Keerthi

Department of Mathematics,
School of Advanced Sciences,
VIT Chennai Campus,
Chennai - 600 048,
India.
E-mail: priyaharikrishnan18@gmail.com

Department of Mathematics,
School of Advanced Sciences,
VIT Chennai Campus,
Chennai - 600 048,
India.
E-mail: isruthilaya06@yahoo.co.in

Abstract:

By means of (p,q) Lucas polynomials, we estimate coefficient bounds and Fekete-Szego inequalities for functions belonging to this class. Several corollaries and consequences of the main results are also obtained.

Paper's Title:

On Certain Classes of Harmonic Univalent Functions Based on Salagean Operator

Author(s):

G. Murugusundaramoorthy, Thomas Rosy, and B. A. Stephen

Department of Applied Mathematics and Informatics,
Department of Mathematics, Vellore Institute of Technology,
Deemed University, Vellore - 632014, India.
gmsmoorthy@yahoo.com 

Department of Applied Mathematics and Informatics,
Department of Mathematics, Madras Christian College,
Chennai - 600059, India.
drthomasrosy@rediffmail.com 

Abstract:

We define and investigate a class of complex-valued harmonic univalent functions of the form f = h + g using Salagean operator where h and g are analytic in the unit disc U = { z : |z| < 1 }. A necessary and sufficient coefficient conditions are given for functions in these classes. Furthermore, distortion theorems, inclusion relations, extreme points, convolution conditions and convex combinations for this family of harmonic functions are obtained.

Paper's Title:

Meromorphic P-Valent Functions With Positive And Fixed Second Coefficients

Author(s):

B.A. Frasin and G. Murugusundaramoorthy

Department of Mathematics,
Al Al-Bayt University,
P.O. Box: 130095,
Mafraq, Jordan.
bafrasin@yahoo.com
URL: http://www.geocities.com/bafrasin/techie.html

Department of Mathematics,
Vellore Institute of Technology,
Deemed University,
Vellore - 632014,
India.
gmsmoorthy@yahoo.com

Abstract:

We introduce the classes and of meromorphic univalent functions ith positive and fixed second coefficients. The aim of the present paper is to obtain coefficient inequalities and closure theorems for these classes. Furthermore, the radii of convexity and starlikeness for functions the classes and are determined.

Paper's Title:

On a Subclass of Uniformly Convex Functions Defined by the Dziok-Srivastava Operator

Author(s):

M. K. Aouf and G. Murugusundaramoorthy

Mathematics Department, Faculty of Science,
Mansoura University 35516,
Egypt.
mkaouf127@yahoo.com

School of Science and Humanities, VIT University
Vellore - 632014,
India.
gmsmoorthy@yahoo.com

Abstract:

Making use of the Dziok-Srivastava operator, we define a new subclass T^l_m([α₁];α,β) of uniformly convex function with negative coefficients. In this paper, we obtain coefficient estimates, distortion theorems, locate extreme points and obtain radii of close-to-convexity, starlikeness and convexity for functions belonging to the class T^l_m([α₁];α,β) . We consider integral operators associated with functions belonging to the class H^l_m([α₁];α,β) defined via the Dziok-Srivastava operator. We also obtain several results for the modified Hadamard products of functions belonging to the class T^l_m([α₁];α,β) and we obtain properties associated with generalized fractional calculus operators.

Paper's Title:

Coefficient Estimates for Certain Subclasses of Bi-univalent Sakaguchi Type Functions by using Faber Polynomial

Author(s):

P. Murugabharathi, B. Srutha Keerthi

Mathematics Division,
School of Advanced Sciences,
VIT Chennai, Vandaloor, Kelambakkam Road,
Chennai - 600 127, India.
E-mail: bharathi.muhi@gmail.com
E-mail: sruthilaya06@yahoo.co.in

Abstract:

In this work, considering a general subclass of bi-univalent Sakaguchi type functions, we determine estimates for the general Taylor-Maclaurin coefficients of the functions in these classes. For this purpose, we use the Faber polynomial expansions. In certain cases, our estimates improve some of those existing coefficient bounds.

Paper's Title:

Salagean-type Harmonic Univalent Functions with Respect to Symmetric Points

Author(s):

R. A. Al-Khal and H. A. Al-Kharsani

Department of Mathematics, Faculty of Science, Girls College,
P.O. Box 838,
Dammam, Saudi Arabia
ranaab@hotmail.com
hakh@hotmail.com

Abstract:

A necessary and sufficient coefficient are given for functions in a class of complex-valued harmonic univalent functions of the form f=h+\g using Salagean operator where h and g are analytic in the unit disk U = {z:|z|<1}. Furthermore, distortion theorems, extreme points, convolution condition, and convex combinations for this family of harmonic functions are obtained.

Paper's Title:

Inclusion and Neighborhood Properties for Certain Subclasses of Analytic Functions Associated with Convolution Structure

Author(s):

M. K. Aouf

Mathematics Department,
Faculty of Science,
Mansoura University 35516,
Egypt.
mkaouf127@yahoo.com

Abstract:

In this paper we introduce and investigate two new subclasses of multivalently analytic functions of complex order defined by using the familiar convolution structure of analytic functions. In this paper we obtain the coefficient estimates and the consequent inclusion relationships involving the neighborhoods of the p-valently analytic functions.

Paper's Title:

A Differential Sandwich Theorem for Analytic Functions Defined by the Generalized Sălăgean Operator

Author(s):

D. Răducanu and V. O. Nechita

Faculty of Mathematics and Computer Science,
"Transilvania" University Braşov
Str. Iuliu Maniu 50, 500091 Braşov,
Romania
dorinaraducanu@yahoo.com

Faculty of Mathematics and Computer Science,
"Babeş-Bolyai" University Cluj-Napoca,
Str. M. Kogalniceanu 1, 400084 Cluj-Napoca,
Romania
URL: http://math.ubbcluj.ro/~vnechita/
vnechita@math.ubbcluj.ro
 

Abstract:

We obtain some subordination and superordination results involving the generalized Sălăgean differential operator for certain normalized analytic functions in the open unit disk. Our results extend corresponding previously known results.

Paper's Title:

Coefficient Bounds for Sakaguchi Kind of Functions Associated with Sine Function

Author(s):

Serap Bulut, H. Priya and B. Srutha Keerth

Kocaeli University,
Faculty of Aviation and Space Sciences,
Arslanbey Campus, 41285 Kartepe-Kocaeli,
Turkey.
E-mail: serap.bulut@kocaeli.edu.tr

 
Department of Mathematics,
School of Advanced Sciences,
VIT Chennai Campus, Chennai - 600 048,
India.
E-mail: priyaharikrishnan18@gmail.com, priya.h2020@vitstudent.ac.in

Department of Mathematics,
School of Advanced Sciences,
VIT Chennai Campus, Chennai - 600 048,
India.
E-mail: keerthivitmaths@gmail.com, sruthakeerthi.b@vit.ac.in

Abstract:

In this paper, we introduce a new general subclass of analytic functions with respect to symmetric points in the domain of sine function. We obtain sharp coefficient bounds and upper bounds for the Fekete-Szegö functional. Also we get sharp bounds for the logarithmic coefficients of functions belonging to this new class.

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