OPEN PROBLEMS IN ASYMPTOTICS RELEVANT TO SEQUENCE TRANSFORMATIONS WITH A SPECIAL EMPHASIS ON THE SUMMATION OF DIVERGENT STIELTJES SERIES

Ernst Joachim Weniger
Institut für Physikalische und Theoretische Chemie
Universität Regensburg
D-93040 Regensburg
Federal Republic of Germany
joachim.weniger@chemie.uni-regensburg.de

Internal Report for Participants of the Newton Euroconference
Exponential Asymptotics
15 March 1995

• Introduction
• The Construction of Sequence Transformations
• Model Sequences
• Explicit Remainder Estimates
• On the Choice of the Remainder Estimates
• Stieltjes Series
• Remainder Estimates for Stieltjes Series
• References
• About this document ...