Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function
نویسندگان
چکیده
منابع مشابه
Partial Sums of Certain Meromorphic Functions
The purpose of the present paper is to establish some results concerning the partial sums of meromorphic starlike and meromorphic convex functions analogous to the results due to H. Silverman [J. Math. Anal. Appl. 209 (1997), 221-227]. Furthermore, we consider the partial sums of certain integral operator.
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Let Σ denote the class of analytic functions in the punctured unit disc U∗ = {z ∈ C : 0 < |z| < 1} . In this paper, we introduce several new subclasses of meromorphic functions defined by means of the linear operator d(a, c; z). Inclusion properties of these classes and some applications involving integral operator are also considered. 2000 Mathematics Subject Classification: 30C45.
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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: Moroccan Journal of Pure and Applied Analysis
سال: 2015
ISSN: 2351-8227
DOI: 10.7603/s40956-015-0003-8