The Lommel Functions

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

The Lommel functions are a two-parameter family of functions that solve the Lommel differential equation and can be expanded in a series of Bessel functions. There are applications of these functions in optics.

Contributed by: Enrique Zeleny (August 2014)
Open content licensed under CC BY-NC-SA


Snapshots


Details

References

[1] A. P. Prudnikov, O. I. Marichev, and Yu. A. Brychkov, "The Lommel Functions and ," §1.5 in Integrals and Series, Vol. 3: More Special Functions, Newark, NJ: Gordon and Breach, 1990 pp. 28–29.

[2] NIST Digital Library of Mathematical Functions. "Lommel Functions." Version 1.0.8; Release date 2014-04-25. dlmf.nist.gov/11.9.

[3] F. W. J. Olver, D. W. Lozier, R. F. Boisvert, and C. W. Clark (eds.), NIST Handbook of Mathematical Functions, New York: Cambridge University Press, 2010.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send