Math Chapter Wise question with answer

Q01 Find f(z) = u + iv where x u(x, y) = e (xcosy - ysiny) English · PGT 2003 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 f: C → → → C be an entire function with f (0) = 1 and f (1) = 0. Then f maps English · Bihar (TRE 1.0) -2023 Q05 f is an entire function. If f satisfies the following two equations f (z +1) = f (z) and f (z + i) = f (z) for ever... English · Bihar (TRE 1.0) -2023 Q06 The residue at z = ∞ for the function f(z) = z3 cos 1 z is: English · NVS PGT 2022