Hermite polynomials are a very important aspect of advanced mathematics and Matlab® provides very useful commands to calculate these advanced mathematical operations. One of these functions is the ‘hermiteH()’.
Here we explain how to calculate the Hermite polynomials in Matlab® with the ‘hermiteH()’ command with a very basic example below. You can try this in your own Matlab® software.
You can find detailed information about the ‘hermiteH()’ command, from this link.
>> hermiteH(4,5) ans = 8812 >>
As you see above, the use of the ‘hermiteH()’ command in Matlab® is very simple to calculate hermite polynomials. To use it, you need to enter two variables or inputs inside the brackets of the ‘hermiteH()’ command, then hit the ‘Enter’ key to see the result in the Matlab® command window.
The general expression of the Hermite polynomial is like the above. The two variables that you are defining inside the brackets of the ‘hermiteH()’ command is like this;
The calculation is performed with these variables in Matlab®.
As you understand that the use of the ‘hermiteH()’ command in Matlab® is very simple to calculate the hermite functions with the inputs.
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This article is prepared for completely educative and informative purposes. Images used courtesy of Matlab®