Article

Classes of uniformly starlike and convex functions

International Journal of Mathematics and Mathematical Sciences 01/2004; 2004(55). DOI: 10.1155/S0161171204402014
Source: DOAJ

ABSTRACT

Some classes of uniformly starlike and convex functions are introduced. The geometrical properties of these classes and their behavior under certain integral operators are investigated.

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Available from: Jay Jahangiri
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    • "ii. k − ST [1 − 2α, −1] = SD(k, α), k − U CV [1 − 2α, −1] = KD(k, α), the classes introduced by Shams et al. in [17]. iii. "
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    • "Special cases we get the classes defined by Janowski [1] , Khalida Inyat Noor and Sarfraz Nawaz Malik [9], Kanas and Wisniowska [6], Shams [7] . "
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    • "Let MT(µ, β) be the subclass of A consisting of the functions f which satisfy the analytic characterization zf (z) f (z) − 1 < β µ zf (z) f (z) + 1 for some 0 < β ≤ 1, and 0 ≤ µ < 1, Definition 1.([9] "
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