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Newton Identities for Weierstrass Products
The American Mathematical Monthly
Vol. 119, No. 9 (November 2012), pp. 796-799
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.119.09.796
Page Count: 4
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Abstract We prove a generalization of the Newton Identities for entire functions, which give a relation between the Taylor coefficients and sums of powers of reciprocals of the zeros of an entire function. We apply these identities to a number of special functions, yielding some interesting recursion relations.
Copyright the Mathematical Association of America 2012