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285:{\displaystyle \int _{0}^{\infty }J_{z}(at)J_{z}(bt)J_{z}(ct)t^{1-z}\,dt={\frac {2^{z-1}\Delta (a,b,c)^{2z-1}}{\pi ^{1/2}\Gamma (z+{\tfrac {1}{2}})(abc)^{z}}}}
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One such formula is the following integral formula involving a product of three Bessel functions:
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Stempak, Krzysztof (1988), "A new proof of Sonine's formula",
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where Δ is the area of a triangle with given sides.
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308:Proceedings of the American Mathematical Society
16:Mathematical formula involving Bessel functions
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29:Nikolay Yakovlevich Sonin
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25:Bessel functions
21:Sonine's formula
19:In mathematics,
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231:Γ
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55:∞
46:∫
27:found by
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