Some properties of meromorphically multivalent functions
نویسندگان
چکیده
منابع مشابه
Some properties of meromorphically multivalent functions
* Correspondence: [email protected] Department of Mathematics, Yangzhou University, Yangzhou, 225002, PR China Full list of author information is available at the end of the article Abstract By using the method of differential subordinations, we derive certain properties of meromorphically multivalent functions. 2010 Mathematics Subject Classification: 30C45; 30C55.
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Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we define a subclass $mathcal {T}_{p}(a, c, gamma, lambda; h)$ of meromorphically multivalent functions. The main object of this paper is to investigate some important properties for the class. We also derive many results for the Hadamard roducts of functions belong...
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and Applied Analysis 3 On the other hand, for a function f defined by 1.6 and in the class C p, α , Lemma 1.2 yields ap 1 ≤ p ( p − α ( p 1 )( p 1 − α . 1.10 In view of the coefficient inequalities 1.9 and 1.10 , it would seem to be natural to introduce and study here two further classes T ∗ ε p, α and Cε p, α of analytic and p-valent functions, where T ∗ ε p, α denotes the subclass of T ∗ p, α...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2012
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2012-86