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
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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] . "
Article: Conic regions and symmetric points
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ABSTRACT: In this note, the concept of Nsymmetric points. Janowski functions and the conic regions are combined to define a class of functions in a new interesting domain which represents the conic type regions. certain interesting coefficient inequalities are deduced.11/2014; 97(3). DOI:10.12732/ijpam.v97i3.2 
 "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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ABSTRACT: Recently Breaz and Breaz [4] and Breaz et.al[5] introduced two general integral operators Fn and F�1,...,�n . Considering the classes N( ), MT(μ, �) and KD(μ, �) we derived some properties for Fn and F�1,...,�n. Two new subclasses KDFn(μ, �, �1, ..., �n) and KDF�1,...,�n(μ, �, �1, ..., �n) are defined. Necessary and sufficient conditions for a family of functions fj to be in the KDFn(μ, �, �1, ..., �n) and KDF�1,...,�n(μ, �, �1, ..., �n) are determined 
 "Specializing parameters í µí»¼í µí»¼, í µí»¼í µí»¼, and í µí¼ í µí¼ , we obtain the following subclasses studied by various authors: (i) í µí¼ í µí¼ í µí¼ ST(í µí»¼í µí»¼í µí»¼ í µí± §í µí»¼ = SD(í µí¼ í µí¼ í µí»¼ í µí»¼í µí»¼í µí»¼ and í µí¼ í µí¼ í µí¼ UCV(í µí»¼í µí»¼í µí»¼ í µí± §í µí»¼ = KD(í µí¼ í µí¼ í µí»¼ í µí»¼í µí»¼í µí»¼ (see [2] [3]); (ii) í µí± § í µí¼ ST(í µí»¼í µí»¼í µí»¼ í µí± §í µí»¼ = í µí»¼í µí»¼ í µí±í µí± (í µí»¼í µí»¼í µí»¼ and í µí± § í µí¼ UCV(í µí»¼í µí»¼í µí»¼ í µí± §í µí»¼ = UCV(í µí»¼í µí»¼í µí»¼ (see [4]); (iii) í µí¼ í µí¼ í µí¼ ST(0í µí»¼ í µí± §í µí»¼ = í µí¼ í µí¼ í µí¼ ST and í µí¼ í µí¼ í µí¼ UCV(0í µí»¼ í µí± §í µí»¼ = í µí¼ í µí¼ í µí¼ UCV (see [5] [6]); (iv) 1 − ST(0, 1) = í µí±í µí± í µí±í µí± and 1 − UCV(0, 1) = UCV (see [4, 7–10]). "
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ABSTRACT: We introduce certain new classes and , which represent the κ uniformly starlike functions of order α and type β with varying arguments and the κ uniformly convex functions of order α and type β with varying arguments, respectively. Moreover, we give coefficients estimates, distortion theorems, and extreme points of these classes.01/2013; 2013(1). DOI:10.1155/2013/958210