MATH 241 Lecture 3: Discussion 3 11.4

8. Using our recursion relations for Bessel functions, write out the first 4 terms in each series Jo(r), J1(z), J2(z), J-1(x), and J-2(r). Then show that J-1(2)--Ji(r) and Ja(z) J2(z).

aJ, sin(r)dxdy (Evaluate the integral by changing the order of integration Sin dta 2ndメ 2 0 2 .Io 6xydA where D is the triangular region with vertices (0,1), (2,1),(0.3 ) -y 2. (polar JI,(3 2pper crdes. .y'-