关于退化广义拉盖尔多项式和Lah数的注记
A note on degenerate generalized Laguerre polynomials and Lah numbers
摘要:
本文的目的是引入退化的广义拉盖尔多项式作为广义拉盖尔多项式的退化形式,并导出与这些多项式和Lah数有关的一些性质,包括显式表达式、Rodrigues型公式和导数表达式.本文的新颖之处在于,它是第一篇关于退化版本的正交多项式。
英文摘要:
The aim of this paper is to introduce the degenerate generalized Laguerre polynomials as the degenerate version of the generalized Laguerre polynomials and to derive some properties related to those polynomials and Lah numbers, including an explicit expression, a Rodrigues' type formula and expressions for the derivatives. The novelty of the present paper is that it is the first paper on degenerate versions of orthogonal polynomials.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。