Weighted Bergman kernel functions associated to meromorphic functions
نویسندگان
چکیده
منابع مشابه
Classes of admissible functions associated with certain integral operators applied to meromorphic functions
In the present paper, by making use of the differential subordination and superordination results of Miller and Mocanu, certain classes of admissible functions are determined so that subordination as well as superordination implications of functions associated with an integral operator hold. Additionally, differential sandwich-type result is obtained.
متن کاملclasses of admissible functions associated with certain integral operators applied to meromorphic functions
in the present paper, by making use of the differential subordination and superordination results of miller and mocanu, certain classes of admissible functions are determined so that subordination as well as superordination implications of functions associated with an integral operator hold. additionally, differential sandwich-type result is obtained.
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Let D be a pseudoconvex domain in Ckt × C n z and let φ be a plurisubharmonic function in D. For each t we consider the ndimensional slice of D, Dt = {z; (t, z) ∈ D}, let φ be the restriction of φ to Dt and denote by Kt(z, ζ) the Bergman kernel of Dt with the weight function φ. Generalizing a recent result of Maitani and Yamaguchi (corresponding to n = 1 and φ = 0) we prove that logKt(z, z) is ...
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By making use of basic hypergeometric functions, a class of complex harmonic meromorphic functions with positive coefficients is introduced. We obtain some properties such as coefficient inequality, growth theorems, and extreme points.
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Lei Shi, Zhi-Gang Wang, and Jing-Ping Yi School of Mathematics and Statistics, Anyang Normal University, Henan, Anyang 455002, China Correspondence should be addressed to Lei Shi, shilei [email protected] Received 22 September 2012; Revised 26 October 2012; Accepted 31 October 2012 Academic Editor: Alberto Cabada Copyright q 2012 Lei Shi et al. This is an open access article distributed under the...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2017
ISSN: 0035-7596
DOI: 10.1216/rmj-2017-47-1-239