1. A classical problem of fundamental interest is to study the representability of analytic functions as infinite series in a given sequ- ence of functions. In other vvords, the expansion problem in the space of entire functions T is just the problem of determining conditions under
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whiclı sequence {an } of entire functions in T constitutes a basis n=o for the space. Considerable interest attaches to the bases functions known as Pincherle bases, of the form (M ) an (z) = z n {1 + Xn (z)} where each /.n is an entire function vanishing at origin. Sufficient condi tions for {an } defined by (1.1) to be a proper Pincherle basis in T, have been established by Arsove [1].
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 1 Ocak 1984 |
Gönderilme Tarihi | 1 Ocak 1984 |
Yayımlandığı Sayı | Yıl 1984 Cilt: 33 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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