INTEGRAL MEANS OF ANALYTIC MAPPINGS BY ITERATION OF JANOWSKI FUNCTIONS

Volume 3, Issue 4, pp 256-260 http://dx.doi.org/10.22436/jnsa.003.04.03

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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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Keywords

• Integral means
• iteration technique
• analytic and univalent functions
• Janowski functions.

MSC

•  30C45

References

• [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.


• [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.


• [3] A. Baernstein, Integral means, univalent functions and circular symetrization, Acta Math., 133 (1974), 139-169.


• [4] Y. J. Leung, Integral means of the derivatives of some univalent functions, Bull. London Math. Soc., 11 (1979), 289-294.


• [5] G. S. Salagean, Subclasses of univalent functions, Lecture Notes in Math. Springer-Verlag, Berlin, Heidelberg and New York., 1013 (1983), 362-372.