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Topic: Any efficient way to make complete homogeneous symmetric functions in Mathematica?
Replies: 1   Last Post: Jun 9, 2012 10:37 AM

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Rex

Posts: 23
Registered: 10/13/10
Any efficient way to make complete homogeneous symmetric functions in Mathematica?
Posted: Jun 9, 2012 4:17 AM
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We do have elementary symmetric functions, SymmetricPolynomial[k,{x_1..x_n}]
http://reference.wolfram.com/mathematica/ref/SymmetricPolynomial.html

But I didn't found complete homogeneous symmetric functions.

The induction method to compute h_n from e_i and h_j (j<=n-1) is not that efficient.
https://en.wikipedia.org/wiki/Complete_homogeneous_symmetric_polynomial

Is there any easier way to do this?



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