Geodesic
Differentiability of pseudo-dual-quaternionic functions with a differential operator
Kim, Ji Eun 1
1 Department of Mathematics, Dongguk University, Gyeongju-si 38066, Republic of Korea
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 11, p. 1235-1242.

Voir la notice de l'article provenant de la source International Scientific Research Publications

This paper introduces the new concept of pseudo-dual-quaternions and some of their basic properties based on matrices. We extend the concept of differentiability to pseudo-dual-quaternionic functions. Also, we propose a corresponding Cauchy-Riemann formulas induced the properties of a holomorphic function of pseudo-dual-quaternionic variables.
DOI : 10.22436/jnsa.011.11.03
Classification : 32A99, 32W50, 30G35, 11E88
Keywords: Dual-quaternion, differential operators, differentiability, Cauchy-Riemann formulas

Kim, Ji Eun  1

1 Department of Mathematics, Dongguk University, Gyeongju-si 38066, Republic of Korea 
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Kim, Ji Eun . Differentiability of pseudo-dual-quaternionic functions with a differential operator. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 11, p. 1235-1242. doi : 10.22436/jnsa.011.11.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.11.03/

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