Anger function
From specialfunctionswiki
The Anger function is defined by $$\mathbf{J}_{\nu}(z) = \dfrac{1}{\pi} \displaystyle\int_0^{\pi} \cos(\nu \theta - z \sin(\theta)) \mathrm{d}\theta.$$
Graph of $\mathbf{J}_0$.
Graph of $\mathbf{J}_{\frac{1}{2}}$.
Graph of $\mathbf{J}_{\frac{3}{2}}$.
Graph of $\mathbf{J}_2$.
Domain coloring of $\mathbf{J}_0$.
Domain coloring of $\mathbf{J}_{\frac{1}{2}}$.
Domain coloring of $\mathbf{J}_1$.
Domain coloring of $\mathbf{J}_{\frac{3}{2}}$.
Properties
Value of Anger at 0
Anger recurrence relation
Anger derivative recurrence
Relationship between Anger function and Bessel J sub nu
Relationship between Weber function and Anger function
Relationship between Anger function and Weber function
