Linear functionals in space of entire functions of finite order and less the given type |
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| Author |
malyutinkg@gmail.com
Southwest State University, Kursk, Russia
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| 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.
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| Keywords |
entire function; proximate order; type; continuous linear functional
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| DOI |
doi:10.15330/ms.45.2.132-136
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| 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
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| Volume |
45
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| Issue |
2
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| Year |
2016
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| Journal |
Matematychni Studii
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| Full text of paper | |
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