T. Sasagawa, CONSTRUCTIONS OF C-INFINITY-CLASS FUNCTIONS HAVING SPECIFIED ASYMPTOTIC PROPERTIES, Applied mathematics and computation, 73(2-3), 1995, pp. 125-132
The behavior of a system is deeply related to asymptotic properties of
functions describing the system. On the other hand, asymptotic proper
ties of functions involves subtle points from the mathematical point o
f view. In this note, two cases which often appear in problems of appl
ied mathematics are considered and two functions having interesting as
ymptotic properties are constructed.