Second, we adopt the Legendre
collocation method for approximating (1.1).
wavelet polynomials are defined on the interval [0,1) as 
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We applied a Redundancy Analysis--RDA (Legendre
et al., 2012) to evaluate the relationship between soils and the variation in the species composition and structure among each subplot in each physiognomy.
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In (1), we present an expression for the potential energy surface obtained by expanding the potential in a least squares fit of Legendre
polynomial expansion is widely used in representing the scattering phase function and it is sensitive to the forward scattering peak of phase function.
It is well known that the associated Legendre
polynomials play an important role in the central fields when one solves the physical problems in the spherical coordinates.
In Section 2, a brief introduction of linear Legendre
multiwavelets is given.
Recently, in , Rida and Yousef have proposed a fractional extension of classical Legendre
polynomials by replacing the integer order derivative in Rodrigues formula  with fractional-order derivatives.