SOME PROPERTIES ASSOCIATED WITH AN INTEGRAL OPERATOR FOR A CLASS OF MULTIVALENT FUNCTIONS
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Abstract
The object of the present paper is to derive some properties
associated with a class of analytic multivalent functions in the open
unit disc which are defined by using an integral operator, based on
differential subordination techniques.
Mathematics Subject Classification: 30C45
Keywords: Analytic functions, Univalent and Multivalent functions,
Differential subordination, Integral operator.
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References
M. Darus, Imran Faisal and Zahid Shareef, Application of an Integral operator for p-valent functions, Bull. of Math. Anal and Applications, 3(4) (2011), 232–239.
S.S. Miller and P.T. Mocanu, Differential Subordinations: Theory and Applications, Series on Monographs and Text books in Pure and Applied Mathematics (N.225), Marcel Dekker, New York and Besel, 2000.
S. Owa, M. Nunokawa and H.M. Srivastava, A certain class of multivalent functions, Appl. Math. Lett., 10(2) (1997), 7–10.
V. Ravichandran, N. Seenivasgan and H.M. Srivastava, Some
inequalities associated with a linear operator defined for a class of multivalent functions, J. Inequal. Pure Appl. Math., 4(4), Article 70 (2003), 12pp. T.Thulasiram et al, Journal of Global Research in Mathematical Archives, 1(9), March 2013, 34-42
K. Suchithra, B. Adolf Stephen, A. Gangadhran and S. Sivasubramanian, Some inequalities for a certain class of multivalent functions using multiplier transformation, Aust. J. Math. Anal. Appl., 5(1), Art. 14 (2008), 9pp.
S.R. Swamy, Differential Subordinations Associated with Multiplier Transformations, International Mathematica Forum, 7(15) (2012), 719–725.