与Bernoulli、Euler、Hermite和伯恩斯坦多项式有关的勒让德多项式
The Legendre polynomials associated with Bernoulli, Euler, Hermite and Bernstein polynomials
摘要：
本文主要利用勒让德多项式的正交性讨论其算术性质。证明了勒让德多项式与Bernoulli、Euler、Hermite和伯恩斯坦多项式成比例。
英文摘要：
In the present paper, we deal mainly with arithmetic properties of Legendre polynomials by using their orthogonality property. We show that Legendre polynomials are proportional with Bernoulli, Euler, Hermite and Bernstein 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。
