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.
Complex calculus, complex differentiation, multiplicative calculus, Cauchy–Riemann conditions
Primary Language  English 

Journal Section  Research Article 
Authors 

Publication Date  June 1, 2011 
Published in Issue  Year 2011, Volume 01, Issue 1 
Bibtex  @ { twmsjaem761811, journal = {TWMS Journal of Applied and Engineering Mathematics}, issn = {21461147}, eissn = {25871013}, address = {Işık University ŞİLE KAMPÜSÜ Meşrutiyet Mahallesi, Üniversite Sokak No:2 Şile / İstanbul}, publisher = {Turkic World Mathematical Society}, year = {2011}, volume = {01}, number = {1}, pages = {75  85}, title = {ON COMPLEX MULTIPLICATIVE DIFFERENTIATION}, key = {cite}, author = {Bashirov, Agamirza E. and Riza, Mustafa} } 