The Science Seminar Series: October 18, 2007

Algorithms for Coefficient Calculation based on Transform

Dr. Jun Zhang

Department of Math & Computer Science

Troy University

Place: Powell Hall
Time: 4:00 -5:00pm

The expansion of Taylor series is a traditional topic in both pure and applied mathematics and plays a crucial role in both fundamental theory and applications. For a non-rational function, it is difficult in practice to calculate the general terms of the Taylor coefficients. In this talk, some algorithms based on transform will be presented. These algorithms are straightforward to be implemented in computer algebra like Maple to calculate the Maclaurin coefficients for a wide range of non-rational functions without human interaction.