This is a revised and updated version of a modern Fortran 90 code to compute the regular P_l^m(x) and irregular Q_l^m(x) associated Legendre functions for all x∈(−1,+1) (on the cut) and |x|>1 and integer degree (l) and order (m). The necessity to revise the code comes as a consequence of some comments of Prof. James Bremer of the UC//Davis Mathematics Department, who discovered that there were errors in the code for large integer degree and order for the normalized regular Legendre functions on the cut
textabstractAn efficient algorithm and a Fortran 90 module (LaguerrePol) for computing Laguerre poly...
ABSTRACT. The Legendre numbers pm m-i n are expressed in terms of those numbers Pk min the previous ...
The classical Laplace expansion of an 'arbitrary ' function / in a series of Legendre poly...
This is a revised and updated version of a modern Fortran 90 code to compute the regular P_l^m(x) an...
This dataset is a tabulation of associated Legendre functions of the second, sometimes called the ir...
The known standard recursion methods of computing the full normalized associated Legendre functions ...
With 12 tabs.SIGLETIB: RO 186(1986,8) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische ...
New expansions for the Legendre functions P_n^(-m)(z) and Q_n^(-m)(z) are obtained; m and n are larg...
Numerous novel integral and series representations for Ferrers functions of the first kind (associat...
[EN] In this paper we present, with a pedagogical aim, a method to calculate the associated Legendre...
Error characteristics of the Fourier expansion of the Legendre polynomials are examined in the compu...
AbstractIn Love (Proc. London Math. Soc. 69 (3) (1994) 629–672) I established, under suitable condit...
Abstract not availableH.-P. Doerr, M. Roth, A. Zaatri, L. Krieger, and M. J. Thompso
A standard treatment of aspects of Legendre polynomials is treated here, including the dipole moment...
The solution of boundary value problems involving the simplest of conical geometries requires the us...
textabstractAn efficient algorithm and a Fortran 90 module (LaguerrePol) for computing Laguerre poly...
ABSTRACT. The Legendre numbers pm m-i n are expressed in terms of those numbers Pk min the previous ...
The classical Laplace expansion of an 'arbitrary ' function / in a series of Legendre poly...
This is a revised and updated version of a modern Fortran 90 code to compute the regular P_l^m(x) an...
This dataset is a tabulation of associated Legendre functions of the second, sometimes called the ir...
The known standard recursion methods of computing the full normalized associated Legendre functions ...
With 12 tabs.SIGLETIB: RO 186(1986,8) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische ...
New expansions for the Legendre functions P_n^(-m)(z) and Q_n^(-m)(z) are obtained; m and n are larg...
Numerous novel integral and series representations for Ferrers functions of the first kind (associat...
[EN] In this paper we present, with a pedagogical aim, a method to calculate the associated Legendre...
Error characteristics of the Fourier expansion of the Legendre polynomials are examined in the compu...
AbstractIn Love (Proc. London Math. Soc. 69 (3) (1994) 629–672) I established, under suitable condit...
Abstract not availableH.-P. Doerr, M. Roth, A. Zaatri, L. Krieger, and M. J. Thompso
A standard treatment of aspects of Legendre polynomials is treated here, including the dipole moment...
The solution of boundary value problems involving the simplest of conical geometries requires the us...
textabstractAn efficient algorithm and a Fortran 90 module (LaguerrePol) for computing Laguerre poly...
ABSTRACT. The Legendre numbers pm m-i n are expressed in terms of those numbers Pk min the previous ...
The classical Laplace expansion of an 'arbitrary ' function / in a series of Legendre poly...