TY  - JOUR
TI  - ON COMPLEX MULTIPLICATIVE INTEGRATION
AB  - In the present paper, we extend the multiplicative integral to complex-valuedfunctions of complex variable. The main difficulty in this way, that is, the multi-valuednature of the complex logarithm is avoided by division of the interval of integration to afinite number of local intervals, in each of which the complex logarithm can be localizedin one of its branches. Interestingly, the complex multiplicative integral became a multivalued function. Some basic properties of this integral are considered. In particular, it isproved that this integral and the complex multiplicative derivative are bonded in a kindof fundamental theorem.
AU  - NOROZPOUR, SAJEDEH
AU  - BASHIROV, AGAMIRZA E.
PY  - 2017
JO  - TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics
VL  - 7
IS  - 1
SN  - 2146-1147
SP  - 82
EP  - 93
DB  - TRDizin
UR  - http://search/yayin/detay/239736
ER  -