'Analytical' vector-functions II

摘要

This note is a second part of previous paper - (Analytical vector-functions I, AIP Conference Proceedings 1910, 050011 (2017)), below cited as [3]. In the previous paper to an arbitrary power series f(ξ) = ∑_n=0)~∞ a_nξ~n was corresponded the vector power series f(x) = ∑_n~∞ a_nx~m where x ∈ R~3 is a vector. Recall that the degree of the vector x ∈ R~3 was defined as x~0:=b(0 ≠ b R~3) and x~n = x~(n-1) × x. We consider a series which coefficients a_n = a_n(t), t ∈ R~m which are functions of the "time" t in the case the time is one - dimensional.