Sonine formula - Alchetron, The Free Social Encyclopedia

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:

∫ 0 ∞ J z ( a t ) J z ( b t ) J z ( c t ) t 1 − z d t = 2 z − 1 Δ ( a , b , c ) 2 z − 1 π 1 / 2 Γ ( z + 1 2 ) ( a b c ) z

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

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