Wednesday, March 28, 2012

1203.5961 (Asger C. Ipsen)

New Bessel Identities from Laguerre Polynomials    [PDF]

Asger C. Ipsen
For large order, Laguerre polynomials can be approximated by Bessel functions near the origin. This can be used to turn many Laguerre identities into corresponding identities for Bessel functions. We will illustrate this idea with a number of examples. In particular, we will derive a generalization of a identity due to Sonine, which appears to be new.
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