Thread: Contour intergration sinh z/ { z^100 dz }

contour integral of sinh z/ z^100 dz where C1 : |z-1| =5. (this part i understand using Laurent) i achieve 2.pi.j [1 / 99! ]

hence , or otherwise, show 98th derivative of function sinh z / z w.r.t z evaluated at z = 0 is equal to 1 / 99.

(but this part i'm not sure how to show the factorial disappear ?? )

Originally Posted by Chris0724

contour integral of sinh z/ z^100 dz where C1 : |z-1| =5. (this part i understand using Laurent) i achieve 2.pi.j [1 / 99! ]

hence , or otherwise, show 98th derivative of function sinh z / z w.r.t z evaluated at z = 0 is equal to 1 / 99.

(but this part i'm not sure how to show the factorial disappear ?? )

Use the following theorem:

If has a pole of order at then .