IntU

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Mathematica package for calculating polynomial integrals over the unitary group

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# IntU

## Description

*IntU* is a package for Mathematica computer algebra system, which allows to
calculate polynomial integrals over the unitary group with respect to the Haar
measure.

## Installation

The package can be installed by placing `IntU.m` file in `Applications`
subdirectory of `.Mathematica` directory.

## Documentation

Help messages for the implemented functions are document in `IntU_functions.nb`
notebook. The are also available in the PDF format in `IntU_functions.pdf`.

## Authors

[Z. Puchała](https://iitis.pl/en/person/zpuchala),
[J.A. Miszczak](https://miszczak.eu), IITiS PAN Gliwice, Poland

## Usage and citing

Usage examples are provided in `IntU_examples.nb` notebook. The package was
described in

Z.Puchała, J.A. Miszczak, *Symbolic integration with respect to the Haar measure on the unitary group*, Bull. Pol. Acad. Sci.-Tech. Sci., Vol 65, No. 1 (2017), DOI:[10.1515/bpasts-2017-0003](https://doi.org/10.1515/bpasts-2017-0003), arXiv:[1109.4244](https://arxiv.org/abs/1109.4244)

In case of citing our work, please use the following BibTeX data:

```tex
@article{puchala2017symbolic,
  author        = {Pucha{\l}a, Zbigniew and Miszczak, Jaros{\l}aw Adam},
  title         = {Symbolic integration with respect to the {Haar} measure on the unitary group},
  journal       = {Bull. Pol. Acad. Sci.-Tech. Sci.},
  volume        = {65},
  issue         = {1},   
  year          = {2017},
  doi           = {10.1515/bpasts-2017-0003},
  eprint        = {arXiv:1109.4244},
  url           = {https://github.com/iitis/IntU}
}
```

IntU

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