A PROCEDURE FOR CALCULATING THE BESSEL FUNCTIONS J SUB NU (X)

A PROCEDURE FOR CALCULATING THE BESSEL FUNCTIONS J SUB NU (X)

A procedure is studied for calculating the Bessel functions J sub nu (x) (nu real and non-negative) by utilizing their expansion in Laguerre polynomials. The errors, as estimated by the first neglected terms, are compared with the errors in the usual Bessel expansion for moderate x-values and are fo...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Ross,Edward W. ,Jr
Format: Report
Sprache:eng
Schlagworte:
BESSEL FUNCTIONS
NUMERICAL ANALYSIS
POLYNOMIALS
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Beschreibung
Zusammenfassung:A procedure is studied for calculating the Bessel functions J sub nu (x) (nu real and non-negative) by utilizing their expansion in Laguerre polynomials. The errors, as estimated by the first neglected terms, are compared with the errors in the usual Bessel expansion for moderate x-values and are found to be more nearly uniform. The procedure appears to have some advantages over those now in use. (Author)