ON COMPLEX MULTIPLICATIVE DIFFERENTIATION

Abstract

In the present paper we discuss multiplicative differentiation for complexvalued 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

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