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Anger Function
Anger differential equation
z^2 w''(z) + z w'(z) + (z^2 - ν^2) w(z) = (sin(π ν) (z - ν))/π for (w(z) = c_1 J_ν(z) + c_2 Y_ν(z) + J_ν(z) and J_ν(z) = cos((π ν)/2) _1 F^~_2(1;1 + ν/2, 1 - ν/2;-z^2/4) + 1/2 (sin((π ν)/2) _1 F^~_2(1;(3 + ν)/2, (3 - ν)/2;-z^2/4)) z)