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单词 Legendre polynomials
释义
Legendre polynomials

Mathematics
  • A set of polynomial solutions {Pn(x)} to Legendre’s differential equation are generated by the expansion of

    1(12xt+t2)

    as the coefficients of tn.

    Alternatively they can be found by Rodrigues’ formula

    Pn(x)=12nn!dndxn(x21)n.


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