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A chain rule for differentiation with applications to multivariate hermite polynomials

Published online by Cambridge University Press:  17 April 2009

C. S. Withers
C. S. Withers
Affiliation:
Applied Mathematics Division, DSIR, Box 1335, Wellington, New Zealand.
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Abstract

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A chain rule is given for differentiating a multivariate function of a multivariate function. In the univariate case this chain rule reduces to Faa de Bruno's formula.

Using this, a simple procedure is given to obtain the rth order multivariate Hermite polynomial from the rth order univariate Hermite polynomial.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 30 , Issue 2 , October 1984 , pp. 247 - 250
Copyright
Copyright © Australian Mathematical Society 1984

References

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