“Legendre Series”的概念、定义、习题解题方法及翻译-数学辞典

单词

Legendre Series

释义

Legendre Series

Because the Legendre Functions of the First Kind form aComplete Orthogonal Basis, any Function may be expanded in terms of them

(1)

Now, multiply both sides by

and integrate

(2)

But

(3)

where

is the Kronecker Delta, so

(4)

and

(5)

See also Fourier Series, Jackson's Theorem, Legendre Polynomial, Maclaurin Series, Picone's Theorem,Taylor Series

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