A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
A method for computing the coefficients in the product-sum formula of associated Legendre functions
Abstract The product of two associated Legendre functions can be represented by a finite series in associated Legendre functions with unique coefficients. In this study a method is proposed to compute the coefficients in this product-sum formula. The method is of recursive nature and is based on the straightforward polynomial form of the associated Legendre function's factor. The method is verified through the computation of integrals of products of two associated Legendre functions over a given interval and the computation of integrals of products of two Legendre polynomials over [0,1]. These coefficients are basically constant and can be used in any future related applications. A table containing the coefficients up to degree 5 is given for ready reference.
A method for computing the coefficients in the product-sum formula of associated Legendre functions
Abstract The product of two associated Legendre functions can be represented by a finite series in associated Legendre functions with unique coefficients. In this study a method is proposed to compute the coefficients in this product-sum formula. The method is of recursive nature and is based on the straightforward polynomial form of the associated Legendre function's factor. The method is verified through the computation of integrals of products of two associated Legendre functions over a given interval and the computation of integrals of products of two Legendre polynomials over [0,1]. These coefficients are basically constant and can be used in any future related applications. A table containing the coefficients up to degree 5 is given for ready reference.
A method for computing the coefficients in the product-sum formula of associated Legendre functions
Hwang, Cheinway (author)
Journal of Geodesy ; 70
1995
Article (Journal)
English
BKL:
38.73
Geodäsie
On computation and use of Fourier coefficients for associated Legendre functions
| Online Contents | 2016
On computation and use of Fourier coefficients for associated Legendre functions
| Online Contents | 2016
| British Library Online Contents | 2007
Sine series expansion of associated Legendre functions
| Online Contents | 2015
| British Library Online Contents | 2006