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Taylor series of functions with values in dual quaternion. (English) Zbl 1288.30054

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.

MSC:

30G35 Functions of hypercomplex variables and generalized variables
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