IJPAM: Volume 109, No. 7 (2016)

Title

PROPERTIES ON CERTAIN SUBCLASS OF
GENERALIZED SAKAGUCHI TYPE FUNCTIONS

Authors

N.P. Damodaran$^1$, B. Srutha Keerthi$^2$
$^{1,2}$Mathematics Division
School of Advanced Sciences
VIT Chennai, Vandaloor, Kelambakkam Road
Chennai, 600 127, INDIA

Abstract

The object of the present paper is to determine coefficient estimates, neighborhoods and partial sums for functions $f(z)$ belonging to $k$- $\widetilde{\cU\cS}_s^\eta(\rho, \mu, \gamma, t)$.

History

Received: October 1, 2016
Revised:
Published: February 20, 2017

AMS Classification, Key Words

AMS Subject Classification: 30C45
Key Words and Phrases: analytic function, uniformly starlike function, coefficient estimate, convex function, neighborhood problem, partial sums

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Bibliography

1
M. Caglar and H. Orhan, On neighborhood and partial sums problem for generalized Sakaguchi type function, Al. I. Cuza Din Iasi (S.N) Matematica (2014), 1-13.

2
E. Deniz, H. Orhan, The Fekete-Szego problem for a generalized subclass of analytic functions, Kyungpook Math. J., 50 (2010), 37-47.

3
A.W. Goodman, Univalent functions and nonanalytic curves, Proc. Amer. Math. Soc., 8 (1957), 598-601.

4
S. Ruscheweyh, Neighborhoods of univalent functions, Proc. Amer. Math. Soc., 81 (1981), 521-527.

5
H. Silverman, Partial sums of starlike and convex functions, J. Math. Anal. & Appl., 209 (1997), 221-227.

How to Cite?

DOI: 10.12732/ijpam.v109i7.16 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 109
Issue: 7
Pages: 125 - 133


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