K.O. Babalola1, O.Y. Saka-Balogun2 1Department of Mathematics
University of Ilorin
Ilorin, NIGERIA 2 Department of Mathematical and Physical Sciences
Afe Babalola University
Ekiti, NIGERIA
We introduce and study new interesting subclasses of the class of Bazilevič close-to-convex maps. The functions in the new class are said to be λ-pseudo-close-to-convex. Properties such as univalence, integral representations, inclusion conditions and coefficient inequalities were investigated in these new subclasses. We provide also some examples.
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References
[1] K.O. Babalola, and T.O. Opoola, On the coefficients of a certain class of
analytic functions, Advances in Inequalities for Series (2008), 1-13.
[2] K.O. Babalola, On λ-pseudo starlike function, J. of Classical Analysis, 3, No 2 (2013), 137-147; doi: 10.7153/jca-03-12.
[3] P.L. Duren, Univalent Functions, Springer Verlag, New York (1983).
[4] B.A. Frasin, and J.M. Jahangiri, A new and comprehensive class of analytic functions, Analele Univ. din Oradea, XV (2008), 61-64.
[5] F.R. Keogh, and E.P. Merkes, A coefficient inequality for certain class of analytic function, Proc. Amer. Math. Soc. 26, No 1 (1969), 8-12; doi: 10.2307/2035949.
[6] R.S. Singh, On Bazilevič functions. Proc. Amer. Math. Soc, 26 (1973), 261-271; doi: 10.2307/2039275.