ON COMPLEX MULTIPLICATIVE DIFFERENTIATION

ON COMPLEX MULTIPLICATIVE DIFFERENTIATION

Agamirza E. Bashirov    Mustafa Riza    

[PDF]

Abstract

In the present paper we discuss multiplicative differentiation for complex-valued functions. Some drawbacks, arising with this concept in the real case, are explained satisfactorily. Some new difficulties, coming from the complex nature of variables, are discussed and they are outreached. Multiplicative Cauchy-Riemann conditions are established. Properties of complex multiplicative derivatives are studied.

Keywords

Complex calculus, complex differentiation, multiplicative calculus, Cauchy- Riemann conditions.