Certain subclasses of starlike functions of complex order involving the Hurwitz—Lerch Zeta function

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G. MURUGUSUNDARAMOORTHY and K. UMA Certain subclasses of starlike functions of complex order involving the Hurwitz–Lerch Zeta function

Making use of the Hurwitz–Lerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by TS b (α, β, γ) and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for the class TS b (α, β, γ). In parti...

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ژورنال

عنوان ژورنال: Annales UMCS, Mathematica

سال: 2010

ISSN: 0365-1029

DOI: 10.2478/v10062-010-0015-9