Paper's Title:

Certain Coefficient Estimates for Bi-univalent Sakaguchi Type Functions

Author(s):

B. Srutha Keerthi, S. Chinthamani

Department of Applied Mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur, Chennai - 602105,
India

sruthilaya06@yahoo.co.in

 chinvicky@rediffmail.com

 

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 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:

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:

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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