In mathematics, Sonine's formula is any of several formulas involving Bessel functions found by Nikolay Yakovlevich Sonin.

One such formula is the following integral formula involving a product of three Bessel functions:

where Δ is the area of a triangle with given sides.

References

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  • Stempak, Krzysztof (1988), "A new proof of Sonine's formula", Proceedings of the American Mathematical Society, 104 (2): 453–457, doi:10.2307/2046994, ISSN 0002-9939, JSTOR 2046994, MR 0962812