Motzkin数、中心三项式系数和混合多项式
Motzkin numbers, central trinomial coefficients and hybrid polynomials
摘要：
证明了Hermite多项式和Laguerre多项式之间插值的混合多项式在Motzkin数和中心三项式系数的研究中是非常有用的。这些序列被确定为混合多项式的特殊值，这一事实，我们用来推导它们的广义形式和新的身份满足他们。
英文摘要：
We show that the formalism of hybrid polynomials, interpolating between Hermite and Laguerre polynomials, is very useful in the study of Motzkin numbers and central trinomial coefficients. These sequences are identified as special values of hybrid polynomials, a fact which we use to derive their generalized forms and new identities satisfied by them.
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。
