Open AccessGeneralization of the Gauss--Lucas theorem for bicomplex polynomials
Author(s) -
M. Bidkham,
S. Ruhallah Ahmadi
Publication year - 2017
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1512-19
Subject(s) - mathematics , generalization , gauss , domain (mathematical analysis) , set (abstract data type) , algebra over a field , pure mathematics , discrete mathematics , mathematical analysis , computer science , physics , quantum mechanics , programming language
The aim of this paper is to extend the domain of the Gauss—Lucas theorem from the set of complex numbers to the set of bicomplex numbers. We also discuss a bicomplex version of another compact generalization of the Gauss—Lucas theorem.
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