Research Article
ON CERTAIN FUNCTIONAL EQUATION HAVING SOLUTION IN THE SPACES r-(p,q) AND r (p,T) OF ENTİRE FUNCTIONS
Abstract
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
Keywords
References
- Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
Year 1985,
Volume: 34 , - , 01.01.1985
Abstract
References
- Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
There are 1 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Submission Date | January 1, 1985 |
| Publication Date | January 1, 1985 |
| DOI | https://doi.org/10.1501/Commua1_0000000241 |
| IZ | https://izlik.org/JA86BH23ZU |
| Published in Issue | Year 1985 Volume: 34 |
Cite
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
