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it's an indefinite integral, since "a" is arbitrary
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Carlo Beenakker
Carlo Beenakker
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Definite Indefinite integration of multiplication of two Bessel function

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Gerald Edgar
Gerald Edgar
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I am trying to calculate this integral. I know it has an analytic expression when a = 0$a = 0$. But, is there any analytic expression for this case?

$\int_{a}^{\infty}BesselJ[2,bx]BesselJ[1,cx]dx$$$\int_{a}^{\infty}J_2(bx)J_1(cx)\,dx$$

Thanks in advance.

I am trying to calculate this integral. I know it has an analytic expression when a = 0. But, is there any analytic expression for this case?

$\int_{a}^{\infty}BesselJ[2,bx]BesselJ[1,cx]dx$

Thanks in advance.

I am trying to calculate this integral. I know it has an analytic expression when $a = 0$. But, is there any analytic expression for this case?

$$\int_{a}^{\infty}J_2(bx)J_1(cx)\,dx$$

Thanks in advance.

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bordart
bordart
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Definite integration of multiplication of two Bessel function

I am trying to calculate this integral. I know it has an analytic expression when a = 0. But, is there any analytic expression for this case?

$\int_{a}^{\infty}BesselJ[2,bx]BesselJ[1,cx]dx$

Thanks in advance.