Behavior of Analytical Functions at Infinity - Complex Functions - University Mathematics Handbook

University Mathematics Handbook (2015)

XII. Complex Functions

Chapter 8. Behavior of Analytical Functions at Infinity

a.  Point is said to belong to – neighborhood of if belongs to - neighborhood of .

b.  Function is analytic in the neighborhood of , if function is analytic in the neighborhood of .

c.   is a removable singular point, a pole or an essential singular point of function if is a removable singular point, a pole or an essential singular point of function , respectively.