Complex Analysis - Maths KU

Word Index IND-15
mapping by, 206-207
modulus of, 204
periods of, 202-203
zeros of, 205
Trigonometric identities, 201-202
Triply connected domain, 257
Two dimensional vector field, 133,
166
Unbounded polygonal region, 410
Unbounded set, 32
Uniform flow, 138, 290
Uniqueness:
of Laurent series, 334
of power series, 319
of unity in complex number
system, 9
of zero in complex number
system, 9
Unitary matrix, 44
Unit circle:
flow around, 138
inversion in, 100
Unit step function, 381
Unity, roots of, 27
Value, absolute, 10
Value of a complex function, 50
Vector, 10
Vector field:
conservative, 166
complex representation of, 133
definition of, 133
gradient, 166
irrotational, 167, 284-285
normalized, 134
solenoidal, 285
two-dimensional, 133, 284
velocity, 135
Velocity:
complex, 289
field, 135
of a fluid, 135, 284
potential, 167
Vortex, 296
w-plane, 58-59
x-axis, 10
y-axis, 10
Zero(s):
of an analytic function, 337-338
of the complex number system,
4
of hyperbolic functions, 211, 214
isolated, 339
location of, 366
number of, 279, 365
of order n, 337
of polynomial functions, 279
simple, 338
of trigonometric functions, 205
z-plane, 10