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Sums of powers of the zeros of the Bessel polynomials

Published online by Cambridge University Press:  26 February 2010

F. T. Howard
F. T. Howard
Affiliation:
Department of Mathematics and Computer Science, Wake Forest University, Box 7311, Reynolda Station, Winston-Salem, North Carolina, 27109, U.S.A.
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Abstract

Let be the sum of the m-th powers of the zeros of the Bessel polynomial yn(x). It is known that for m = 0, 1, 2, …,

where cm(v) is the Hawkins polynomial. In this paper we find rational functions wm(v) such that for m = 0, 1, 2, …

Type
Research Article
Information
Mathematika , Volume 37 , Issue 2 , December 1990 , pp. 305 - 315
Copyright
Copyright © University College London 1990

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