May 2024
Intermediate to advanced
481 pages
17h 15m
English
Content preview from Complex Analysis
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“ca: chapter_05” — 2012/3/27 — 19:28 — page 175 — #1
5
5
Sequence and Series
5.1 INTRODUCTION
In Chapter 2, we have studied about the definition and convergence of the sequence with the help of
limit. Now, in this chapter, we will study about the sequence and series representation of analytic function
in detail and prove the existence of such representation with the help of some theorems. Further, we
will also study about the power series, its absolute and uniform convergence followed by term by term
differentiation and integration.
5.2 CONVERGENCE OF SEQUENCE
A sequence {z
n
} is said to converge to z
0
(when n approaches ∞), if for any ε>0, there exists ...
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