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The Australian Journal of Mathematical Analysis and Applications
ISSN 1449-5910 |
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Paper's Title:
On the Hohov Convolution Of The Class Sp(α,β)
Author(s):
T. N. Shanmugam and S. Sivasubramanian
Department of Mathematics,
Anna University,
Chennai 600025,
Tamilnadu, India.
shan@annauniv.edu
Department of Mathematics,
Easwari Engineering College,
Chennai-600089,
Tamilnadu, India,
sivasaisastha@rediffmail.com
Abstract:
Let F(a,b;c;z) be the Gaussian hypergeometric function and Ia,b;c(f)=zF(a,b;c;z)*f(z) be the Hohlov operator defined on the class A of all normalized analytic functions. We determine conditions on the parameters a,b,c such that Ia,b;c(f) will be in the class of parabolic starlike functions Sp(α,β). Our results extend several earlier results.
Paper's Title:
Weyl's theorem for class Q and k - quasi class Q Operators
Author(s):
S. Parvatham and D. Senthilkumar
Department of Mathematics and Humanities,
Sri Ramakrishna Institute of Technology, Coimbatore-10, Tamilnadu,
India.
E-mail: parvathasathish@gmail.com
Post Graduate and Research Department of
Mathematics,
Govt. Arts College, Coimbatore-641018, Tamilnadu,
India.
E-mail: senthilsenkumhari@gmail.com
Abstract:
In this paper, we give some properties of class Q operators. It is proved that every class Q operators satisfies Weyl's theorem under the condition that T2 is isometry. Also we proved that every k quasi class Q operators is Polaroid and the spectral mapping theorem holds for this class of operator. It will be proved that single valued extension property, Weyl and generalized Weyl's theorem holds for every k quasi class Q operators.
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:
Komatu Integral Transforms of Analytic Functions Subordinate to Convex Functions
Author(s):
T. N. Shanmugam and C. Ramachandran
Department of Mathematics, College of Engineering,
Anna University, Chennai-600 025, Tamilnadu,
India
shan@annauniv.edu
Department of Mathematics, College of Engineering,
Anna University, Chennai-600 025, Tamilnadu,
India
crjsp2004@yahoo.com
Abstract:
In this paper, we consider the class A of the functions f(z) of the form
which are analytic in an open disk
has some property. Certain inclusion and the closure properties like convolution with convex univalent function etc. are studied.
and study certain subclass of the class A, for which
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 Tlm([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 Tlm([α1];α,β) . We
consider integral operators associated with functions belonging to the class
Hlm([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 Tlm([α1];α,β)
and we obtain properties associated with generalized fractional calculus
operators.
Paper's Title:
Inclusion Properties of a Certain Subclass of Strongly Close-To-Convex Functions
Author(s):
S. M. Khairnar and M. More
Department of Mathematics,
Maharashtra Academy of Engineerring,
Alandi -412 105, Pune, Maharashtra,
INDIA.
smkhairnar2007@gmail.com,
meenamores@gmail.com.
Abstract:
The purpose of this paper is to derive some inclusion and argument properties of a new subclass of strongly close-to-convex functions in the open unit disc. We have considered an integral operator defined by convolution involving hypergeometric function in the subclass definition. The subclass also extends to the class of α-spirallike functions of complex order.
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