annulus
♦
3 matching pages ♦
(0.000 seconds)
3 matching pages
1: 2.10 Sums and Sequences
…
►Let be analytic on the annulus
, with Laurent expansion
►
(c)
…
►
2.10.25
.
…
►where is a simple closed contour in the annulus that encloses .
…
►
The coefficients in the Laurent expansion
2.10.27
,
have known asymptotic behavior as .
2.10.29
.
…
2: 1.10 Functions of a Complex Variable
…
►
§1.10(iii) Laurent Series
►Suppose is analytic in the annulus , , and . Then …The series (1.10.6) converges uniformly and absolutely on compact sets in the annulus. ►Let , so that the annulus becomes the punctured neighborhood : , and assume that is analytic in , but not at . …3: 2.7 Differential Equations
…
►these series converging in an annulus
, with at least one of , , nonzero.
…