Multiplicative type complex calculus as an alternative to the classical calculus

Authors:
Ali Uzer
Affiliations:
-
Venue:
Computers & Mathematics with Applications
Year:
2010

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A multiplicative calculus

PRIMUS: problems, resources, and issues in mathematics undergraduate studies
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

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Abstract

A multiplicative calculus dealing with real valued functions is extended to a multiplicative type complex calculus (MCC) dealing with complex valued functions. Some fundamental theorems and concepts of the classical calculus are interpreted from the view point of the MCC and the analogies between them are given. Also new notations for the MCC are defined. The MCC is distinguished from the classical calculus by calling the classical calculus as the additive type complex calculus (ACC).