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The product of two integer functions of limited $L$ - index in direction is a function from the same class
Bandura Andriy Ivanovych 1
1 Department of Physical and Mathematical Sciences, Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, 76019, Ukraine
Keywords: $L$ - index
Abstract

The results of A. D. Kuzyk and M. M. Sheremeta on the properties of entire functions of bounded $l$ -index are generalized to the case of entire functions of bounded  $L$-index in direction. In particular, it is proved that the class of entire functions of bounded $L$-index in direction is closed with respect to the operation of multiplication of functions.

Cite
ACS Style
Bandura, A.I. The product of two integer functions of limited $L$ - index in direction is a function from the same class. Bukovinian Mathematical Journal. 2016, 4
AMA Style
Bandura AI. The product of two integer functions of limited $L$ - index in direction is a function from the same class. Bukovinian Mathematical Journal. 2016; 4(1-2).
Chicago/Turabian Style
Andriy Ivanovych Bandura. 2016. "The product of two integer functions of limited $L$ - index in direction is a function from the same class". Bukovinian Mathematical Journal. 4 no. 1-2.
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