Math Chapter Wise question with answer

Q01 A function f(z) has no singularity in the finite part of the plane but has a pole of order m at infinity. then, English · UP Higher Asst. Prof. 2021 Q02 Let f(z) = () 2 z +1 z z -1 then the product of the residues of f at poles is: English · DSSSB PGT 2021 Q03 For the function () -z 1-e f z = z the point z = 0 is a/an English · Bihar (TRE 1.0) -2023 Q04 Let g be any positively oriented circle whose centre is at the origin. Then the value of the integral ∫ 2 γ cosz dz... English · Bihar (TRE 1.0) -2023 Q05 Let a-2 be the coefficient of 2 1 z in the Laurent series of f(z) = () 3 2 z +1 z z +1 around z = 0 in the region 0... English · Bihar (TRE 1.0) -2023 Q06 Let f: C → → → C be an entire function with f (0) = 1 and f (1) = 0. Then f maps English · Bihar (TRE 1.0) -2023