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Note on power sums of the zeros of certain Laguerre and Bessel polynomials
Integral Transforms and Special Functions ( IF 0.7 ) Pub Date : 2020-01-06 , DOI: 10.1080/10652469.2019.1709455
M. A. Komarov 1
Affiliation  

ABSTRACT Let be the sum of th powers of the zeros of the generalized Bessel polynomial . In this note, we generalize the well-known Burchnall's result , . In particular, we find the simple explicit formulae for ( ) with k=2,3,4 and establish the new identity for certain Bessel polynomials.

中文翻译:

关于某些 Laguerre 和 Bessel 多项式的零点的幂和的注意事项

摘要 设 为广义贝塞尔多项式的零点的 th 次幂之和。在本笔记中,我们概括了著名的 Burchnall 结果 , 。特别是,我们找到了 k=2,3,4 的 ( ) 的简单显式公式,并为某些贝塞尔多项式建立了新的恒等式。
更新日期:2020-01-06
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