Справочник по специальным функциям - Абрамович М.
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22.577779 23.104553 23.635223 24.169860 24.708534
25.251312 25.798254 26.349411 26.904827 27.464530
28.028539 23.596854
[("54>5]
4
7.14921 7.05054 6.96237
6.8863 й 6.82460
6.77941 6.75360 6.75030 6.77286 6.82451
6.90779 7.02356 7.16962 7.33916 7.52035
7.69932 7.86638 8,01951 8.16148 8.29538
8.42315 8.54594 8.66452 8.77945 8.89116 9.00000
m 569 21. СФЕРОИДАЛЬНЫЕ ВОЛНОВЫЕ ФУНКЦИИ
Таблица 21.1. Собственные значения — вытянутые и сплюснутые
Сплюснутые
W-W- т{т + 1)
CtV" 0 1
0 0.000000 2.000000
1 -0.348602 1.393206
2 -0.729391 0.773097
Э -1,144328 +0.140119
4 -1.594493 -0.505243
5 -2.079934 -1,162477
6 -2.599668 -1.831050
7 -3.151841 -2.510421
В -3.733981 -3.200049
9 -4.343292 -3.899400
10 -4.976895 -4.607952
11 -5.632021 -5.325200
12 -6.306116 -6.050659
13 -6.996903 -6.783867
14 -7.702385 -7.524384
»5 -8.420841 -8.271795
16 -9.150793 -9.025710
17-3)41
L ^ J L 5 J
0.25 0.24 0.23 0.22 0.21
0.20 0.19 0.18 0.17 0.16
0.15 0.14 0.13 0.12 0.11
0.10 0.09 0.08 0.07 0.06
0.05 0.04 0,03 0.02 0.01 0.00
-0.571924 -0.585248 -0.599067 -0.613349 -0.628058
-0.643161 -0.658625 -0.674418 -0.690515 -0.706891
-0.723530 -0.740416 -0.757541 -0.774896 -0.792476
-0.810279 -0.828301 -0.846539 -0.864992 -D.883657
-0.902532 -0,921616 -0.940906 -0.960402 -0.980100 -1.000000
1
-0.564106 -0.579552 -0.595037 -0.610591 -0.626242
-0.642016 -0.657938 -0.674031 -0.690310 -0.706792
-0.723486 -0.740399 -0.757535 -0.774894 -0.792476
-0.810279 -0.828301 -0.846539 -0.864992 -0.883657
-0.902532 -0.921616 -0.940906 -0.960402 -0.980100 -1.000000
m
2
6.000000 5.436800 4.996484 4.531027 4.091509
3.677958 3.289357 2.923796 2.578730 2.251269
1.938419 1.637277 1.345136 1.059541 0.778305
0.499495 0.221407
m
e-'IW-ю)]
+0.013837 -0.009136 -0.031481 -0.053477 -0.075480
-0.097943 -0.121428 -0.146603 -0.174201 -0.204894
-0.239109 -0.276886 -0.317881 -0.361548 -0.407352
-0.454896 -0.503937 -0.554337 -0.606021 -0.658931
-0.713025 -0.768262 -0.824608 -0.882031 -0.940503 -1.000000
m
12.000000 11.492120 10.990438 10.494512 10.003863
9.517982 9.036338 8.558395 8.083615 7.611465
7.141427 6.673001 6.205705 5.739084 5.272706
4.806165 4.339082 [(-4)8-}
0.271192 0.213225 0.157464 0.103825 0.052196
+0.002437 -0.045635 -0.092251 -0.137692 -0.182301
-0.226469 -0.270627 -0.315206 -0.360594 -0.407081
-0.454839 -0.503928 -0.554337 -0.606021 -0.658931
-0.713025 -0.768262 -0.824608 -0.882031 -0.940503 -1.000000
[<П
20.000000 19.495276 18.994079 18.496395 18.002228
17.511597 17.024540 16.541110 16.061382 15.585448
15.113424 14.645441 14.181652 13.722230 13.267364
12.817261 12.372144
[(-4)6]
4
0.77325 0.67822 0.58772 0.50191 0.42099
0.34521 0.27490 0.21043 0.15215 0.10020
0.05428 +0,01332 -0.02476 -0.06337 -0.10723
-0.16065 -0.22419 -0.29513 -0.37117 -0.45125
-0.53495 -0.62200 -0.71218 -0.80533 -0.90131 -1.00000
m СОБСТВЕННЫЕ ЗНАЧЕНИЯ
Таблица 21.1. Собственные значення — вытянутые и сплюснутые
Вытянутые Ът(с) — т (т + 1)
C2V п
0
1 2
3
4
5
6 7
10 11 12
13
14
15
16
с-"\п 0.25 0.24 0.23 0.22 0.21
0.20 0.19 0.18 0.17 0.16
0.15 0.14 0.13 0.12 0.11
о.ю
0.09 0.08 0.07 0.06
0.05 О.04 0.03 0.02 0.01 0.00
1
о.оооооо
0.195548 0.382655 0.561975 0.734111
0.899615 1.058995 1.212711 1.361183 1.504795
1.643895 1.778798 1.909792 2.037141 2.161081
2.281832 2^3 99593
0.599898 0.613295 0.627023 0.641073 0.655431
0.670084 0.685014 0.700204 0.715632 0.731281
0.747129 0.763159 0.779353 0.795696 0.812174
0.828776 0.845493 0.862316 0.879237 0.896251
0.913352 0.930535 0.947796 0.965129 0.902531 1.000000
m
2
4.000000 4.424699 4.841718 5.251162 5.653149
6.047807 6.435272 6.815691 7.189213 7.555998
7.916206 8.270004 8.617558 8.959038 9.294612
9.624450 9.948719
['-5811] m
2.487179 2.491544 2.497852 2.506130 7.51 6383
2.523591 2.542705 2.558644 2.576296 2.595516
2.616135 2.637968 2.660829 2.684536 2.708934
2,733891 2.759305 2.785099 2.811212 2.837600
2.864224 2.891056 2.918069 2.945243 2.972558 3.000000
Х|„(с)-2 3
10.000000 10.467915 10.937801 11.409266 11.881493
12.354034 12.826413 13.298196 13.768997 14.238466
14.706292 15.172199 15.635940 16.097297 16.556078
17.012115 17.465260
['П 3
4.366315 4.338520 4.315609 4.297923 4.285792
4.279522 4.279366 4.285495 4.297965 4.316672
4.341320 4.371397 4.406191 4.444844 4.486445
4.530151 4.575277 4.621329 4.667984 4.715031
4.762333 4.809790 4.857332 4.904906 4.952472 5.000000
18.000000 18.481696 18.965685 19.451871 19.940143
20.430382 20.922458 21.416235 21.911569 22.408312
22.906311
23.405410 23.905451 24,406277 24.907729
25.409649 25.911881
6.47797 6.38296 6.29522 6.21556 6.14494
6.08438 6.03498 5.99788 5.97420 5.96496
5.97090 5.99230 6,0287*4 6.07889 6.14051
6.21063 6.28624 6.36482 6.44473 6.52505
