On the representation of linear continuous operators as differential operators of infinite order with respect to the q-derivative
Linchuk Stepan Stepanovich
1
1 Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine
Keywords:
the representation of linear continuous operators, the q-derivative
Abstract
The image of linear continuous operators in spaces of analytic functions in the form of differential operators of infinite order with respect to q-derivative is studied.
References
[1] Linchuk S.S. On the applicability of differential operators of infinite order with respect to the q-derivative // Book of Mathematics - 2014. - 1, № 3-4. - P. 81-83.
[2] Köthe G. Dualität in der Funktionentheorie // J. reine und angew. Math.– 1953.– 191 .– P.30-49.
[3] S.S. Linchuk, Y.S. Linchuk. Operators in spaces of analytic functions - Chernivtsi: Ruta, 2011. 147 p.
[4] H. Exton. q-Hypergeometric Functions and Applications. – New York: Halstead Press, Chichester: Ellis Horwood, 1983. – 347 p.
Cite
- ACS Style
- Linchuk, S.S. On the representation of linear continuous operators as differential operators of infinite order with respect to the q-derivative. Bukovinian Mathematical Journal. 2016, 2
- AMA Style
- Linchuk SS. On the representation of linear continuous operators as differential operators of infinite order with respect to the q-derivative. Bukovinian Mathematical Journal. 2016; 2(2-3).
- Chicago/Turabian Style
- Stepan Stepanovich Linchuk. 2016. "On the representation of linear continuous operators as differential operators of infinite order with respect to the q-derivative". Bukovinian Mathematical Journal. 2 no. 2-3.
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