HFT.m

Sheldon Axler

The HFT.m Mathematica software package performs symbolic manipulation of expressions that arise in the study of harmonic functions. This software, which is available electronically without charge, can perform symbolic calculations that would take a prohibitive amount of time if done without a computer. For example, the Poisson integral of any polynomial can be computed exactly.

Some of the capabilities of this software:

Click below to obtain the current version of the HFT.m software package:

Click below to obtain the current documentation as a Mathematica notebook:

Click below to obtain the current documentation as a pdf file:

Click below to obtain the Mathematica notebook that generates the HFT10.m package. The HFT10.nb notebook is not needed to use the HFT10.m software package. The HFT10.nb notebook is easier for a human to read than the HFT10.m software package. Thus the HFT10.nb notebook is needed only to examine or change the programming of the HFT10.m software package. The HFT10.nb notebook and HFT10.m software package are linked, so changes made in the HFT10.nb notebook will generate a changed HFT10.m software package without notifying the user. If you intend to make changes in the HFT10.nb notebook, change the name of the notebook first (then changes to the notebook will result in a software package with a new name).

All items linked above are copyrighted by Sheldon Axler but are distributed without charge.

Please send suggestions for additional features and error reports to Sheldon Axler (axler@sfsu.edu).

To request the versions of this package that work with versions of Mathematica earlier than version 7, contact Sheldon Axler (axler@sfsu.edu).


Many of the algorithms used by this software are based on material in the book listed below, published by Springer in its Graduate Texts in Mathematics series. The software can be used without the book, just as the book can be used without the software. Click below to learn more about the book.


Some of the algorithms used by this software are explained in the paper listed below. Click below to learn more about this paper.


Some of the algorithms used by this software are explained in the paper listed below. Click below to learn more about this paper.