Math Chapter Wise question with answer

Q01 For the function () -z 1-e f z = z the point z = 0 is a/an English · Bihar (TRE 1.0) -2023 Q02 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 Q03 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 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 A non-constant entire function English · Bihar (TRE 1.0) -2023 Q06 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