EXPONENTIAL FUNCTIONS ON TIME SCALES: THEIR ASYMPTOTIC BEHAVIOR AND CALCULATION
Sigrun Bodine, Donald A. Lutz · Sound Ideas (University of Puget Sound) · 2003
We consider certain classes of \exponential on time scales, which are dened via dynamic equations and generalize the ordinary exponential function. In this paper we are interested rst in the asymptotic behavior of these functions (say compared with the ordinary exponential) and second, how to eciently calculate matrix analogues of these functions. For the latter question we discuss a recent algorithm introduced by W. A. Harris, Jr. and compare it to the well-known Putzer algorithm. AMS (MOS) Subject Classication. 39A10.