6533b826fe1ef96bd1284fc5
RESEARCH PRODUCT
Evaluation of legendre functions of argument greater than one
Javier SeguraAmparo Gilsubject
Code (set theory)Recurrence relationHardware and ArchitectureWronskianMathematical analysisGeneral Physics and AstronomyOrder (group theory)Fraction (mathematics)Argument (linguistics)Legendre functionConductorMathematicsdescription
Abstract In this paper we present an algorithm to evaluate Legendre functions of the first and second kinds ( P v , Q v ) for integraland half-integral order and argument greater than one. The code is based on the calculation of the continued fraction for the Q 's. the Wronskian relating P 's and Q 's and the application of forward recurrence relations for the P 's and backward recurrence for the Q 's. We also show an application of these algorithms to the evaluation of the electrostatic field due to a charged toroidal conductor at potential V .
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-10-01 | Computer Physics Communications |