SUM AND PRODUCT OF FUNCTIONS HAVING BOUNDED L-INDEX IN A DIRECTION WHICH ARE SLICE HOLOMORPHIC IN THE SAME DIRECTION
DOI:
https://doi.org/10.31471/2304-7399-2019-1(53)-9-20Keywords:
bounded index, bounded L-index in direction, slice function, holomorphic function, bounded l-index, sum.Abstract
Our objects of investigations are sum and product of holomorphic function of bounded index. There are established sufficient conditions providing the boundedness of L-index in the same direction for these operations. In particular, the multiplication of functions from this class is closed operation.
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