New Bessel Identities from Laguerre Polynomials

Details New Bessel Identities from Laguerre Polynomials New Bessel Identities from Laguerre Polynomials

2012-03-27

arxiv.org/abs/1203.5961v1

Physics

Mathematical Physics

6 pages

Scientific paper

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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