INTEGRAL MEANS OF ANALYTIC MAPPINGS BY ITERATION OF JANOWSKI FUNCTIONS
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Authors
K. O. BABALOLA
- Department of Mathematics, University of Ilorin, P. M. B 1515, Ilorin, Nigeria.
Abstract
In this short note we apply certain iteration of the Janowski functions to estimate the integral means of some analytic and univalent mappings
of \(|z| < 1\). Our method of proof follows an earlier one due to Leung [4].
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ISRP Style
K. O. BABALOLA, INTEGRAL MEANS OF ANALYTIC MAPPINGS BY ITERATION OF JANOWSKI FUNCTIONS, Journal of Nonlinear Sciences and Applications, 3 (2010), no. 4, 256-260
AMA Style
BABALOLA K. O., INTEGRAL MEANS OF ANALYTIC MAPPINGS BY ITERATION OF JANOWSKI FUNCTIONS. J. Nonlinear Sci. Appl. (2010); 3(4):256-260
Chicago/Turabian Style
BABALOLA, K. O.. "INTEGRAL MEANS OF ANALYTIC MAPPINGS BY ITERATION OF JANOWSKI FUNCTIONS." Journal of Nonlinear Sciences and Applications, 3, no. 4 (2010): 256-260
Keywords
- Integral means
- iteration technique
- analytic and univalent functions
- Janowski functions.
MSC
References
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[1]
K. O. Babalola, T. O. Opoola, Iterated integral transforms of Caratheodory functions and their applications to analytic and univalent functions, Tamkang J. Math., 37 (4) (2006), 355-366.
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[2]
K. O. Babalola , Convex null sequence technique for analytic and univalent mappings of the unit disk, Tamkang J. Math., 40 (2) (2009), 201-209.
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[3]
A. Baernstein, Integral means, univalent functions and circular symetrization, Acta Math., 133 (1974), 139-169.
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[4]
Y. J. Leung, Integral means of the derivatives of some univalent functions, Bull. London Math. Soc., 11 (1979), 289-294.
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[5]
G. S. Salagean, Subclasses of univalent functions, Lecture Notes in Math. Springer-Verlag, Berlin, Heidelberg and New York., 1013 (1983), 362-372.