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  • Mathematical Sciences and Applications E-Notes
  • Volume:8 Issue:2
  • Dual-complex Jacobsthal Quaternions

Dual-complex Jacobsthal Quaternions

Authors : Fügen TORUNBALCI AYDIN
Pages : 145-156
Doi:10.36753/mathenot.621169
View : 27 | Download : 12
Publication Date : 2020-10-15
Article Type : Research Paper
Abstract :In this paper, dual-complex Jacobsthal quaternions are defi ned. Also, some algebraic properties of dual-complex Jacobsthal quaternions which are connected with dual-complex numbers and Lucas numbers  are investigated. Furthermore, the Honsberger identity, the d`Ocagne`s identity, Binet`s formula, Cassini`s identity, Catalan`s identity for these  quaternions and their real representations are given. ................................................... .................................................. .......................................
Keywords : Dual number, dual complex number, Jacobsthal number, dual complex Jacobsthal number, Jacobsthal quaternion

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