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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Bibliographic Details
Published inApplied mathematics letters Vol. 23; no. 4; pp. 462 - 465
Main Authors García-Ravelo, Jesús, Schulze-Halberg, Axel, Peña Gil, José Juan, Queijeiro, Alfonso
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.04.2010
Elsevier
Subjects
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
Ladder operator
Spherical Bessel function
Bessel function
Applied mathematics
Arbitrary function
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2009.12.004