Last Updated :2025/12/05

Appell sequence

Noun
Japanese Meaning
数学において、0次から始まる多項式列であり、各多項式 pₙ(x) の微分が n × pₙ₋₁(x) に一致し、先頭の多項式 p₀(x) がゼロでない定数となっている多項式列のこと。
What is this buttons?

講義で紹介された多項式列(p_n'(x) = n p_{n-1}(x) を満たすもの)は、微分方程式の解を展開するための便利な基底を提供した。

plural

Quizzes for review

(mathematics) Any polynomial sequence p_n(x)_(n=0,1,2,…) satisfying the identity d/(dx)p_n(x)=np_n-1(x), and in which p_0(x) is a non-zero constant.

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Appell sequence

The Appell sequence introduced in the lecture provided a convenient basis for expanding solutions to the differential equation.

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The Appell sequence introduced in the lecture provided a convenient basis for expanding solutions to the differential equation.

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