implement first kind bessel function

Question

sai reddy 2019-10-18

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/486031-implement-first-kind-bessel-function

评论： sai reddy 2019-10-21

采纳的回答： Walter Roberson

在 MATLAB Online 中打开

I want to implement bessel function of first kind in MATLAB.

Jo = First kind zero order.
J1 There is nothing mentioned what is J1 in the artcile
But wikipidea says: The series indicates that −J1(x) is the derivative of J0(x),
What is J1 and how should i implement in MATLAB?
Should r be a constant value or variable?

Let us say I want to implement Jo(r) and J1(r)

Jo = besselj(0,r);
J1 = -besselj(1,r);

is the code J1 correct?

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Answer 1

Walter Roberson 2019-10-18

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https://ww2.mathworks.cn/matlabcentral/answers/486031-implement-first-kind-bessel-function#answer_396971

Not exactly. Although -J1 is the derivative of J0, that does not mean that J1 = -besselj(1,x), it means that J1 = besselj(1,x) and that the derivative of J0 happens to change sign.

Analogy: diff(cos(x), x) = -sin(x) but that doesn't mean that you define cos(x) with an inherent - sign.