tJsing functional analysis technigues, it is shown that the functional eguation
f(Z + W;) — (3 f(z) = g(z)
always has a solution in the spaces (p) and r(p_(P,T) to which g helongs. ît is also sh.own that these spaces are Montel. The results of this paper generalize the corres- ponding results of Whittaker [10], Scott [8] and Krishnamurthy [5j.
1. Whıttaker’s [10] classical theorem States that for any entire function g of order p tkere existg such. that the eguation
an entire function f of the same order
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 1 Ocak 1985 |
Gönderilme Tarihi | 1 Ocak 1985 |
Yayımlandığı Sayı | Yıl 1985 Cilt: 34 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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