Two-parameter ladder operators for spherical Bessel functions

We construct ladder operators for spherical Bessel functions of arbitrary order. Our ladder operators act independently on two parameters, one of which is the order of the spherical Bessel function, while the other parameter is a multiplicative factor in the spherical Bessel function’s argument.

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Bibliographische Detailangaben
Veröffentlicht in:	Applied mathematics letters 2010-04, Vol.23 (4), p.462-465
Hauptverfasser:	García-Ravelo, Jesús, Schulze-Halberg, Axel, Peña Gil, José Juan, Queijeiro, Alfonso
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract harmonic analysis Bessel functions Construction Exact sciences and technology Ladder operator Ladders Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Operators Sciences and techniques of general use Special functions Spherical Bessel function
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Beschreibung
Zusammenfassung:	We construct ladder operators for spherical Bessel functions of arbitrary order. Our ladder operators act independently on two parameters, one of which is the order of the spherical Bessel function, while the other parameter is a multiplicative factor in the spherical Bessel function’s argument.
ISSN:	0893-9659 1873-5452
DOI:	10.1016/j.aml.2009.12.004