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Two-parameter ladder operators for spherical Bessel functions

✍ Scribed by Jesús García-Ravelo; Axel Schulze-Halberg; José Juan Peña Gil; Alfonso Queijeiro

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
318 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

Chebyshev sries for the spherical bessel
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✍ G. Delic 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 33 KB

## Nature of the problem Numerical evaluation of the spherical Bessel function jl(r). ## Method of sohttion Expansion ofjl(r) in series of Chebyshev polynomials and evaluation of the coefficients by recurrence. ## Restrictions Oll the complexity of the problem Ranges confined to: 0 < 1 ~< 20

The operational matrix of integration fo
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A general expression for the operational matrix of integration P for the case of Bessel functions is derived. Using this P, several problems such as identiJication, analysis and optimal control may be studied. Examples are included to illustrate the theoretical results.

Two-parameter exponential-type basis fun
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✍ Germund Höjer 📂 Article 📅 1979 🏛 John Wiley and Sons 🌐 English ⚖ 621 KB

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