Bicomplex Version of Matrix Transformations Between c<sub>0</sub><SUP>k</SUP>(BC) and c<SUP>k</SUP>(BC) by Using the Hyperbolic-Valued Norm

Sağır Duyar B., Gungor N., Duyar C.

IRANIAN JOURNAL OF SCIENCE, vol.49, no.2, pp.439-447, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 2
  • Publication Date: 2025
  • Doi Number: 10.1007/s40995-024-01737-2
  • Journal Name: IRANIAN JOURNAL OF SCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.439-447
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

This paper presents the characterizations of bicomplex matrix transformations between c(0)(k)(BC) and c(k)(BC) generalizing several conclusions from complex version of these matrices. Moreover, we define and demonstrate their bicomplex counterparts utilizing the Silverman-Toeplitz and Kojima-Schur theorems.