Hadamard product of certain meromorphic starlike and convex functions
نویسندگان
چکیده
منابع مشابه
HADAMARD PRODUCT OF CERTAIN MEROMORPHIC p−VALENT STARLIKE AND p−VALENT CONVEX FUNCTIONS
In this paper, we establish some results concerning the Hadamard product of certain meromorphic p-valent starlike and meromorphic p-valent convex functions analogous to those obtained by Vinod Kumar (J. Math. Anal. Appl. 113(1986), 230-234) and M. L. Mogra (Tamkang J. Math. 25(1994), no. 2, 157-162).
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In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $; meromorphic and starlike functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.
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J. Dziok Institute of Mathematics, University of Rzeszów, ul. Rejtana 16A, 35-310 Rzeszów, Poland Correspondence should be addressed to J. Dziok, [email protected] Received 2 July 2009; Revised 21 November 2009; Accepted 5 January 2010 Academic Editor: Vladimir Mityushev Copyright q 2010 J. Dziok. This is an open access article distributed under the Creative Commons Attribution License, wh...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2009
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2008.07.044