scholarly journals Error bounds for the numerical evaluation of Legendre polynomials by a three-term recurrence

2021 ◽  
Vol 54 ◽  
pp. 323-332
Author(s):  
Tomasz Hrycak ◽  
Sebastian Schmutzhard
1987 ◽  
Vol 101 (2) ◽  
pp. 375-381 ◽  
Author(s):  
B. Piraux ◽  
Colm T. Whelan

The Born partial wave integrals of Seaton [3] are considered. It is shown that the treatment of Whelan [5] may be further simplified and that these integrals may be expressed as a finite sum of associated Legendre polynomials of the second kind. This provides a convenient method for their numerical evaluation and allows the relationship between the Born and Bethe reactance matrices to be given in explicit analytic form.


1990 ◽  
Author(s):  
P. SLEZIONA ◽  
MONIKA AUWETER-KURTZ ◽  
HERBERT SCHRADE

Author(s):  
Carlos Eduardo Ribeiro Santa Cruz Mendoza ◽  
Rafael Dunaiski ◽  
Edgar Ofuchi ◽  
Henrique Stel ◽  
Rigoberto Morales

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