Linear functionals in space of entire functions of finite order and less the given type

Author
K. G. Malyutin, L. I. Studenikina
Southwest State University, Kursk, Russia
Abstract
We consider the linear topology space of entire functions of a proximate order and nor- mal type less than the given type with respect to the proximate order. We obtain a form of continuous linear functional on this space.
Keywords
entire function; proximate order; type; continuous linear functional
DOI
doi:10.15330/ms.45.2.132-136
Reference
1. B.Ya. Levin, Distribution of zeros of entire functions, English revised edition Amer. Math. Soc, Providence, RI, 1980.

2. N.H. Bingham, C.M. Goldie, J.L. Teugels, Regular variation, Cambridge university press, Cambridge, London, New-York, New Rochele, Melburn, Sydney, 1987.

3. A.F. Leont’ev, Obobshcheniye ryadov e’ksponent, Nauka, 1981. (in Russian)

4. K.G. Malyutin, T.I. Malyutina, Linear functionals in some spaces of entire functions of finite order, Istanbul University Science Faculty the Journal of Mathematics, Physics and Astronomy, 6 (2015), 1–6.

Pages
132-136
Volume
45
Issue
2
Year
2016
Journal
Matematychni Studii
Full text of paper
pdf
Table of content of issue