JavaScript Applications in Mathematical Physics

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Calculation of Bessel Functions of the First Kind
Click here to see a picture of Friedrich Wilhelm Bessel. To learn about Bessel click here.

Below is a form to enter the order and argument for a calculation of a Bessel function of the first kind (Jn[x]). One version is a Simpson integration of the trigonometric identity that defines Jn(x), the other a recurrence relationship from rational series approximations for J0(x) and J1(x).

Parameter Entry and Display Form
Order of
the function
Value of the
variable x
Value of Jn(x)
with m terms
Value of Jn(x)
with 2m terms

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