ON ANALYTIC FUNCTIONS DEFINED BY A NEW GENERALIZED MULTIPLIER DIFFERENTIAL OPERATOR

Article Sidebar

PDF
Published: Jun 17, 2013

Main Article Content

SR Swamy
R V College of Engineerting

Abstract

Abstract: The object of this paper is to obtain inclusion results, structural formula, coefficient estimates and other interesting properties of analytic functions belonging to a new class defined by using a new generalised multiplier differential operator.

Downloads

Download data is not yet available.

Article Details

How to Cite
Swamy, S. (2013). ON ANALYTIC FUNCTIONS DEFINED BY A NEW GENERALIZED MULTIPLIER DIFFERENTIAL OPERATOR. Journal of Global Research in Mathematical Archives(JGRMA), 1(5), 08–17. Retrieved from https://www.jgrma.com/index.php/jgrma/article/view/59
Issue
Vol. 1 No. 5 (2013): May-2013
Section
Research Paper
Download Copyright
Author Biography

SR Swamy, R V College of Engineerting

Professor, Department of Computer Science and Engineering

References

REFERENCES

F. M. Al-Oboudi, On univalent functions defined by a generalized Salagean operator, Int. J. Math. Math. Sci., 27(2004), 1429-1436.

S. D. Bernardi, Convex and starlike functions, Trans. Amer. Math. Soc., 135(1969), 429 - 446.

S. S. Bhoosnurmath and S. R. Swamy, On certain classes of analytic functions, Soochow J. Maph., 20(1994), no.1, 1-9.

L. Brickman,T. H. MacGregor and D. R. Wilken, Convex hull of soee classical families of univalent ftnctions, Trans. Amer. Math. Soc., 156(1971), 91-107.

G. Chunyi and S. Owa, Certain classes of analytic functions in the unit disc, Ky5ngpook Math. J,, 33(1) (1993), 13–23.

A. Catas, On certain clars of p-valent functions defin%d "y new multiplier transformations, Proceddings book of the anternational symposium on geometric function theory and applications, August, 20-24, 2007, TC Isambul Kultur Univ., Turkey,241-250.

D. J. Hallenbeck and T. H. MacGregor, Linear problems and convexity techniques in geometric function theory, pitman, 1984.

W. Keopf, A uniqueness theorem for functions of positive real part, J. Math. Sci., 28(1994), 78-90.

Z. Lewandowski, S. S. Miller and E. Zlotkiewicz, Generating functions for some classes of univalent functions, Proc. Amer. Math. Soc., 56(1976), 111-117.

Li-Zhou and Qing-hua Xu, On univalent functions defined by the multiplier differential operator, Int. J. Math. Anal., 6(2012), no. 9-12, 735-742.

S. S. Miller and P. T. Mocanu, Differential subordinations: Theory and Applications. Marcel-Dekker, New York, 2000.

D. Raducanu and H. Orhan, Subclasses of analytic functions defined by a generalized differential operator, Int. J. Math. Anal., 4(2010), no. 1-2, 1-15.

D. Raducanu, On the properties of a subclass of analytic functions, Studia univ. “Babes-Bolyaiâ€, Math. LV, no. 3, (2010), 187-195.

D. Raducanu, On a subclass of univalent functions defined by a generalized differential operator, Math. Reports, 13(63), 2(2011), 197-203.

G. St. Salagean, Subclasses of univalent functions, Proc. Fifth Rou. Fin. Semin. Buch. Complex Anal., Lect. notes in Math., Springer -Verlag, Berlin, 1013(1983), 362-372.

R. Singh and S. Singh, Convolution properties of a class of starlike functions , Proc. Amer. Math. Soc., 106(1989), 1, 145-152.

S. R. Swamy, Inclusion properties of certain subclasses of analytic functions, Int. Math. Forum, 7 (2012), no. 33-36, 1751-1760.

S. R. Swamy, On univalent functions defined by a new generalized multiplier differential operator, J. Math. Computer Sci., 2(5) (2012), 1233-1240.

S. R. Swamy, Sandwich theorems for analytic functions defined by certain new operators J. Global Res. Math. Arch., 1 (2) (2013), 76-85.