(7) Decide if the following statements are true or false. Give short justifications for your answers: (a) Every holomorphic function on the upper half plane H admits a primitive. (b) There exists a...

Extracted text: (7) Decide if the following statements are true or false. Give short justifications for your answers: (a) Every holomorphic function on the upper half plane H admits a primitive. (b) There exists a holomorphic function f : D(0; 2) → C such that f = 2022. –1,1,i) (c) If a continuous function f : C\{0} → C locally admits a primitive, then it admits a primitive on all of C\{0}.