Talk:Anger function

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Would someone know why other references I have found speaking of the Lommel-Weber function define it as

\Omega _{n}(x)={\frac {1}{\pi }}\int _{0}^{\pi }\sin(x\sin \phi -n\phi )d\phi

particularly ^[1].

This would seem to be the same as the Weber function mentioned here with the addition of a negative sign. If this is correct, it would be a notable fact.

Dvaselaar (talk) 22:07, 24 May 2008 (UTC)Reply

Last edited at 22:07, 24 May 2008 (UTC). Substituted at 01:45, 5 May 2016 (UTC)

References

^ Airey, J. R., "The Lommel-Weber $\Omega$ Function and its Application to the Problem of Electric Waves on a Thin Anchor Ring", Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 94, No. 661 (May 1, 1918), pp. 307-314

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[1] Airey, J. R., "The Lommel-Weber $\Omega$ Function and its Application to the Problem of Electric Waves on a Thin Anchor Ring", Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 94, No. 661 (May 1, 1918), pp. 307-314

[1]