How can I symbolically solve this Bessel function?

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ep
ep 2014-8-2
回答： Star Strider 2014-8-2
I need to solve the following bessel function:
J1(z)=(1/(2*pi*i))*int(exp(i*z*cos(θ))*cos(θ)),θ,0,2*pi),
where z=a*(x+k), a:real, 0<=k,=1.
Could anyone please guide me? It is the first time I deal with a problem like this and I cannot completely figure out what I should do. I need the solution to be a function of x.

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Star Strider
Star Strider 2014-8-2
The best you can likely do is the core MATLAB besselj function.
If you have the Symbolic Math Toolbox, use its besselj function.

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