Math Chapter Wise question with answer

Q01 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 Q02 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 Q03 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 Q04 Let T: C ∪ ∪ ∪ {∞ ∞ ∞} ⇒ ⇒ ⇒ C ∪ ∪ ∪ {∞ ∞ ∞} be the bilinear transformation such that T(i) = 0, T(0) = –1, T(–i) =... English · DSSSB PGT 2021 Q05 Let f(z) = () cos z 1, z 1 − then, English · DSSSB PGT 2021 Q06 Let f(z) = () 2 z +1 z z -1 then the product of the residues of f at poles is: English · DSSSB PGT 2021