The class and finely analytic functions. (August 2018)

• Record Type: Journal Article
• Authors: Sadullaev, A.; Ibragimov, Z.
• Is Part Of: Sbornik. Volume 209:Number 8(2018)
• Page Start: 1234
• Page End: 1247
• Publication Date: 2018-08
• Subjects: 30G12 -- 41A20; 30E10; Gonchar class -- fine topology -- finely analytic function -- rational approximation -- Hankel determinant; Mathematics -- Periodicals; 510.5
• DOI: 10.1070/SM8846
• Languages: English
• ISSNs: 1064-5616

Abstract

Abstract: The paper is concerned with the class of holomorphic functions introduced by Gonchar, and the class, which is a special case of the former. A holomorphic function in a neighbourhood of belongs to, if it admits rapid rational approximation in some closed ball, . It is proved that in certain cases functions in the class are finely analytic in the whole of . Bibliography: 26 titles.