The Lommel Functions
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.
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 A. P. Prudnikov, O. I. Marichev, and Yu. A. Brychkov, "The Lommel Functions
," §1.5 in
Integrals and Series, Vol. 3: More Special Functions
, Newark, NJ: Gordon and Breach, 1990 pp. 28–29.
 NIST Digital Library of Mathematical Functions. "Lommel Functions." Version 1.0.8; Release date 2014-04-25.
 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.
Lommel Differential Equation
The Lommel Functions
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