Geodesic
INTEGRAL MEANS OF ANALYTIC MAPPINGS BY ITERATION OF JANOWSKI FUNCTIONS :
BABALOLA, K. O. 1
1 Department of Mathematics, University of Ilorin, P. M. B 1515, Ilorin, Nigeria
Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 4, p. 256-260 Cet article a éte moissonné depuis la source International Scientific Research Publications

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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].

DOI : 10.22436/jnsa.003.04.03
Classification : 30C45
Keywords: Integral means, iteration technique, analytic and univalent functions, Janowski functions.

BABALOLA, K. O.  1

1 Department of Mathematics, University of Ilorin, P. M. B 1515, Ilorin, Nigeria 
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BABALOLA, K. O. INTEGRAL MEANS OF ANALYTIC MAPPINGS BY ITERATION OF JANOWSKI FUNCTIONS. Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 4, p. 256-260. doi: 10.22436/jnsa.003.04.03

[1] Babalola, K. O.; Opoola, T. O. Iterated integral transforms of Caratheodory functions and their applications to analytic and univalent functions, Tamkang J. Math., Volume 37 (4) (2006), pp. 355-366

[2] K. O. Babalola Convex null sequence technique for analytic and univalent mappings of the unit disk, Tamkang J. Math., Volume 40 (2) (2009), pp. 201-209

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

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

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

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