I need to use a computational software to work on tensorial hermite polynomials. The operations I want to perform are complex combinations of integration, summation and permutation over indices. Please refer to this image: https://www.dropbox.com/s/2ogp4mr7ejg7x8o/Screenshot 2014-07-07 19.49.16.png(adsbygoogle = window.adsbygoogle || []).push({});

For example, in the above, I want to be able to compute the expression for the expansion coefficient for given n as is done manually in the image below: https://www.dropbox.com/s/2ogp4mr7ejg7x8o/Screenshot 2014-07-07 19.49.16.png

Also, at later stages, I will be using tensor contraction, inner product very often, so I need the software to have good support for the same.

Thanks!

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# Which software to use? #tensors

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