Complex Multiplicative Calculus
Complex Variables
2011-03-09 v1
Abstract
In the present paper we extend the concepts of multiplicative de- rivative and integral to complex-valued functions of complex variable. Some drawbacks, arising with these concepts in the real case, are explained satis- factorily. Properties of complex multiplicative derivatives and integrals are studied. In particular, the fundamental theorem of complex multiplicative calculus, relating these concepts, is proved. It is shown that complex multi- plicative calculus is not just another realization of the ordinary calculus. In particular, the Cauchy formula of complex calculus disappears in multiplicative complex calculus.
Cite
@article{arxiv.1103.1462,
title = {Complex Multiplicative Calculus},
author = {Agamirza Bashirov and Mustafa Riza},
journal= {arXiv preprint arXiv:1103.1462},
year = {2011}
}
Comments
original research