Bessel function summation from 1 to infinity

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DragonLady
DragonLady 2018-1-31
评论： DragonLady 2018-1-31
Hi all I am using matlab for the first time doing more complex equations I am at a lost of how to get the correct syntax for the following equation, in the image.
where alpha is just a number and a_k is the kth zero of Bessel function J_0.
So far I have
a_k = 1:1000;
J = besselj(a_k,alpha);
J1 = besselj(1,a_k);
J_final = J/J1;
I am pretty sure even this is wrong, but I have no clue where to go from here. Any help would be tremendous.

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回答（1 个）

Torsten
Torsten 2018-1-31
a_k = array of the first n zeros of J_0
J = besselj(1,a_k*alpha);
J1 = besselj(1,a_k);
summe = sum(J./J1);
But where do you get a_k from ?
Best wishes
Torsten.
  1 个评论
DragonLady
DragonLady 2018-1-31
Many thanks Torsten. a_k is just from the equation I was given in the picture, in actual fact it is supposed to sigma subscript k.

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