Kim, Ji Eun; Lim, Su Jin; Shon, Kwang Ho Taylor series of functions with values in dual quaternion. (English) Zbl 1288.30054 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 20, No. 4, 251-258 (2013). Summary: We define \(\varepsilon\)-regular functions in dual quaternions. From the properties of \(\varepsilon\)-regular functions, we represent the Taylor series of \(\varepsilon\)-regular functions with values in dual quaternions. Cited in 1 Document MSC: 30G35 Functions of hypercomplex variables and generalized variables Keywords:Clifford analysis; dual quaternion; Taylor series PDFBibTeX XMLCite \textit{J. E. Kim} et al., J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 20, No. 4, 251--258 (2013; Zbl 1288.30054) Full Text: DOI