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| Авторизация |
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| Поиск по указателям |
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| Ablowitz M.J., Fokas A.S. — Complex Variables: Introduction and Applications |
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| Предметный указатель |
Riccati equation 184
Riemann mapping theorem 344
Riemann surface 65
Riemann surface, infinitely sheeted 66
Riemann surface, n-sheeted 66
Riemann surface, two-sheeted 65
Riemann zeta function 142
Riemann — Hilbert (RH) problem 514
Riemann — Lebesgue lemma 439
RK4 (Runge — Kutta method) 199
Root test 117
Roots of unity 5 410
Rouche's theorem 263
Rudin 268
Runge — Kutta methods 199
Saddle point 449
Savart 550
Scattering theory 98 515 609
Schroedinger equation 411 474 609
Schwarz reflection principle 346 379
Schwarz symmetry principle 346 379
Schwarz — Christoffel theorem (formula) 348
Schwarz-Christoffel transformation 312 346
Schwarzian derivative 190 383
Schwarzian S-function 389
Schwarzian triangle function 190 382 389
Sectionally analytic 520 528
Sector 10
Segur 484 613
Self-dual Yang — Mills equation 161
SEQUENCE 109
Sequence, asymptotic 484
Sequence, Cauchy 137
Series asymptotic power 417
Series expansions 18
Series methods (numerical) 201
Series, Laurent 121 127 146
Series, power 164
Series, Taylor 70 114ff
Sheet (Riemann surface) 65
SHM (simple harmonic motion) 28
Shock condition 479
Shock wave 479
Simple arc 71
Simple closed contour 72
Simple closed curve 71
Simple curve 71
simple harmonic motion 28
Simple pole 145
Simply connected 79
Sin (sine) 12
Sine transform 273 291
Singular integral equations 538ff
Singular point 38 98
Singular point, essential 179
Singular point, fixed 179
Singular point, isolated 145
Singular point, regular 182
Singularity, fixed 179
Singularity, movable 179
Singularity, nonisolated 155
Singularity, removable 144
Sink 60 69
Smooth arc 72
Sommerfeld contour 463
Sommerfeld diffraction problem 570
Sommerfeld radiation condition 294
Source 60 69
South pole 15
SP (singular point) 179
Special ends 535
Sphere 15
Square integrable function 267
Square root 46
Stable 14
Stable marginally 14
Stagnation point 43
Standard orientation of contour 254
Stationary phase method 443ff
Steepest descent method 448ff
Stereographic projection 15 50 62
Stirling's formula 436 495
Stokes lines 493
Stokes phenomenon 418 488
Stream function 40 324
Stream lines 41 324
Strength of a pole 145
| Sufficient condition 33
Supremum (sup) 117 202
Symmetric function 539
Tangent (unit vector) 77
Taylor series 30 114ff
Temperature distribution 56
Temperature distribution, steady state 67
Test comparison 120
Test ratio 120
Theodorsen's integral equation 409
thermal conductivity 325
Thin airfoil theory 550
Time independent Schroedinger equation 609
Time-stepping methods 198
Titchmarsh 440
To all orders 430
Tomography 564
Total index 608
Transcendental 14
Transform space 267
Transform, Fourier 267
Transform, Hilbert 255
Transform, Laplace 274
Transform, Mallin 504
Transformation 14
Transformation, bilinear 328 366
Transformation, conformal 314
Transformation, critical point 317
Transformation, inverse Monodromy 618
Transformation, inverse scattering 484
Transformation, Laplace 274
Transformation, linear fractional 366
Transformation, Mellin 504
Transformation, Moebius 366
Transformation, Radon 515 564
Transformation, Schwarz — Christoffel 312 346
Triangle inequality 6
Triangular region 315 319
Trigonometric functions 12
Trigonometric identifies 5
Trilateral 405
Turning point 501
Turning solution (function) 296 504
Two-keyhole contour 257
Unbounded region 15
Uniform convergence 222
Uniform flow 41
Uniformly continuous 23
Uniqueness of analytic inverse 320 342
Uniqueness of Laurent series 132
Uniqueness of Taylor series 118
Univalent 319
Unstable system 14
Upper half plane 14 224
Values at infinity 15
Vector 3
Vector gradients 34
Vekua 583 601
Velocity field 41
Velocity potential 40
Velocity, fluid 40 324
Vibrations of beams 28
Volterra integral equation 538
Vortex, point 60
Watson 389 393
Watson's Lemma 426ff 427
Watson's Lemma in the complex plane 490
Wave 98
Wave equation 293
Wave nonlinear propagation 98
Wedge product 598
Wegmann 410
Weierstrass 149
Weierstrass elliptic function 185
Weierstrass Factor Theorem 169 228
Weierstrass M test 112 139
Whitham 476 477
Whittaker 389 393
Wiener — Hopf method 516 570
Winding number 213 260
WKB (Wentzel — Kramner — Brillouin) 500
wronskian 189
Z plane 4 11
z plane, punctured 37
Zero friction 40
Zeroes of a function 123 259
Zeta function 142
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