On a Subclass of Multivalent β-Uniformly Starlike and Convex Functions defined by a Linear Operator
نویسنده
چکیده
AbstractIn this paper we introduce the subclass K(μ, γ, η, α, β) of β-uniformly convex and β-uniformly starlike functions which are analytic and multivalent with negative coefficients defined by using fractional calculus operators. Characterization property exhibited by the functions in the class and the results of modified Hadamard product are discussed. Connections with the popular subclasses like β-uniformly starlike and convex, pre-starlike, parabolic starlike and convex functions are also pointed out. Results on growth and distortion theorems, closure property, extreme points, class preserving integral operators, region of p-valency and other interesting properties of the class are also included.
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