Sequences of some meromorphic function spaces

Our goal in this paper is to introduce some new sequences of some meromorphic function spaces, which will be called [b.sub.q] and [q.sub.K]-sequences. Our study is motivated by the theories of normal, [Q.sup.#].sub.K] and meromorphic Besov functions. For a non-normal function f the sequences of poin...

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Bibliographic Details
Published in:Bulletin of the Belgian Mathematical Society, Simon Stevin Simon Stevin, 2009-08, Vol.16 (3), p.395-408
Main Authors: Bakhit, M. A., El-Sayed Ahmed, A.
Format: Article
Language:English
Subjects:
30D45
46E15
Analysis
b_q, q_K -sequences
Besov classes
Mathematical analysis
meromorphic functions
Online Access:Get full text
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Summary:Our goal in this paper is to introduce some new sequences of some meromorphic function spaces, which will be called [b.sub.q] and [q.sub.K]-sequences. Our study is motivated by the theories of normal, [Q.sup.#].sub.K] and meromorphic Besov functions. For a non-normal function f the sequences of points {[a.sub.n]} and {[b.sub.n]} for which [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.] are considered and compared with each other. Finally, non-normal meromorphic functions are described in terms of the distribution of the values of these meromorphic functions. 1991 Mathematics Subject Classification : 30D45, 46E15. Key words and phrases : [b.sub.q], qK -sequences, meromorphic functions , Besov classes. Bull. Belg. Math. Soc. Simon Stevin 16 (2009), 395-408
ISSN:1370-1444
2034-1970
DOI:10.36045/bbms/1251832367