


Paper's Title:
Certain Coefficient Estimates for Biunivalent Sakaguchi Type Functions
Author(s):
B. Srutha Keerthi, S. Chinthamani
Department of Applied Mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur, Chennai  602105,
India
Abstract:
Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f^{1} satisfying the conditions that zf'(z) / f(z) and zg'(z) / g(z) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known results are made.
Paper's Title:
Coefficient Estimates for Certain Subclasses of Biunivalent 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.
Email: bharathi.muhi@gmail.com
Email: sruthilaya06@yahoo.co.in
Abstract:
In this work, considering a general subclass of biunivalent Sakaguchi type functions, we determine estimates for the general TaylorMaclaurin 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:
Geometrical Properties of Subclass of Analytic Function with Odd Degree
Author(s):
K. Sivagami Sundari and B. Srutha Keerthi
Divison of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology, Chennai Campus, Chennai  600 127,
India.
Email: sivagamisundari.2298@gmail.com
Divison of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology, Chennai Campus, Chennai  600 127,
India.
Email: keerthivitmaths@gmail.com
Abstract:
The objective of the paper is to study the geometrical properties of the class B(λ, t). For which we have proved that the radius is optimal ,(i.e) the number cannot be replaced by a larger one. Additionally, the graphs for various values of t and λ are compared in order to study the sharpness of the coefficient bounds.
Paper's Title:
Neighborhoods of Certain Subclasses of Analytic Functions of Complex Order with Negative Coefficients
Author(s):
B. Srutha Keerthi, B. Adolf Stephen, A. Gangadharan, and S. Sivasubramanian
Department of Applied Mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur, Chennai  602105,
India.
sruthilaya06@yahoo.co.in
Department of Mathematics,
Madras Christian College,
Chennai  600059,
India
adolfmcc2003@yahoo.co.in
Department of Applied Mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur, Chennai  602105,
India.
ganga@svce.ac.in
Department of Mathematics,
Easwari Engineering College,
Ramapuram, Chennai  600089,
India
sivasaisastha@rediffmail.com
Abstract:
The main object of this paper is to prove several inclusion relations associated with the (n, δ) neighborhoods of various subclasses of convex functions of complex order by making use of the known concept of neighborhoods of analytic functions.
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.
Email:
priyaharikrishnan18@gmail.com
Department of Mathematics,
School of Advanced Sciences,
VIT Chennai Campus,
Chennai  600 048,
India.
Email: isruthilaya06@yahoo.co.in
Abstract:
By means of (p,q) Lucas polynomials, we estimate coefficient bounds and FeketeSzego inequalities for functions belonging to this class. Several corollaries and consequences of the main results are also obtained.
Paper's Title:
FeketeSzegö Inequality for Sakaguchi Type of functions in Petal Shaped Domain
Author(s):
E. K. Nithiyanandham and B. Srutha Keerthi
Division of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology Chennai Campus,
Chennai  600 048,
India.
Email: nithiyankrish@gmail.com
Division of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology Chennai Campus,
Chennai  600 048,
India.
Email: keerthivitmaths@gmail.com
Abstract:
In this paper, we estimate coefficient bounds,a_2,a_3 and a_4, FeketeSzegö inequality and Toeplitz determinant T_{2}(2) and T_{3}(1) for functions belonging to the following class
the function being holomorphic, we expand using Taylor series and obtain several corollaries and consequences for the main result.
Paper's Title:
Toeplitz Determinant for Sakaguchi Type Functions Under Petal Shaped Domain
Author(s):
B. Nandhini and B. Srutha Keerthi
Division of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology Chennai Campus,
Chennai  600 048,
India.
Email:
nandhinibaskar1996@gmail.com
Division of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology Chennai Campus,
Chennai  600 048,
India.
Email: keerthivitmaths@gmail.com
Abstract:
We introduce a new general subclass GP^{t,ρ} of Sakaguchi kind function on a Petal shaped domain. We obtain coefficients bounds and upper bounds for the FeketeSzegö functional over the class. From these functions we obtain the bounds of first four coefficients, and then we have derived the Toeplitz determinant T_{2}(2) and T_{3}(1) whose diagonal entries are the coefficients of functions.
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 KartepeKocaeli,
Turkey.
Email: serap.bulut@kocaeli.edu.tr
Department of Mathematics,
School of Advanced Sciences,
VIT Chennai Campus, Chennai  600 048,
India.
Email: priyaharikrishnan18@gmail.com,
priya.h2020@vitstudent.ac.in
Department of Mathematics,
School of Advanced Sciences,
VIT Chennai Campus, Chennai  600 048,
India.
Email: 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 FeketeSzegö functional. Also we get sharp bounds for the logarithmic coefficients of functions belonging to this new class.
Paper's Title:
A Coefficient Inequality For Certain Subclasses of Analytic Functions Related to Complex Order
Author(s):
B. Srutha Keerthi, B. Adolf Stephen and S. Sivasubramanian
Department Of Applied Mathematics, Sri Venkateswara College Of Engineering, Anna University,
Sriperumbudur, Chennai  602 105,
India.
laya@svce.ac.in
Department of Mathematics, Madras Christian College,
Chennai  600059,
India
adolfmcc2003@yahoo.co.in
Department of Mathematics, College of Engineering, Anna University,
Tamilnadu, Chennai  600 025,
India.
sivasaisastha@rediffmail.com
Abstract:
In this present investigation, the authors obtain coefficient inequality for certain normalized analytic functions of complex order f(z) defined on the open unit disk for which _{ } (_{ } and _{} be a complex number) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions of complex order defined by convolution are given. As a special case of this result, coefficient inequality for a class of functions defined through fractional derivatives is obtained. The motivation of this paper is to give a generalization of the coefficient inequalities of the subclasses of starlike and convex functions of complex order.
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