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 Subclasses of $k$-uniformly convex and $k$-starlike functions defined by S\u{a}l\u{a}gean operator Bull. Korean Math. Soc. 2011 Vol. 48, No. 1, 169-182 https://doi.org/10.4134/BKMS.2011.48.1.169Published online January 1, 2011 Bilal \c{S}eker, Mugur Acu, and Sevtap S\"{u}mer Eker Batman University, Str. Dr. I. Ratiu 5-7, Dicle University Abstract : The main object of this paper is to introduce and investigate new subclasses of normalized analytic functions in the open unit disc $\mathbb{U}$, which generalize the familiar class of $k$-starlike functions. The various properties and characteristics for functions belonging to these classes derived here include (for example) coefficient inequalities, distortion theorems involving fractional calculus, extreme points, integral operators and integral means inequalities. Keywords : S\u{a}l\u{a}gean operator, $k$-starlike, $k$-uniformly convex, coefficient inequalities, distortion inequalities, extreme points, integral means, fractional derivative, integral operators MSC numbers : Primary 30C45 Downloads: Full-text PDF