Справочник по специальным функциям - Абрамович М.
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6.60532 6.68528 6.76480 6.84378 6.92219 7.00000
m m [(-вз)2]
28.000000 28.488065 26.977891 29.469456 29.962738
30.457716 30.954363 31,45265? 31.952557 32.454044
32.957080 33.461629 33.967652 34.475109 34.983956
35.494147 36.005634
[<-Л
9.00140 8.80891 8.62445 8.44916 8.28436
8.13163 7.99282 7.87010 7.76598 7.68328
7.62508 7.59446 7.59407 7.62539 7.68773
7.77728 7.88714 8.00897 8.13579 8.26355
8.3904В 8.51592 8.63963 8.76153 8.88164
9.00000 [<-»<]571 21. СФЕРОИДАЛЬНЫЕ ВОЛНОВЫЕ ФУНКЦИИ
Таблица 21.1. Собственные зпачения—вытянутые и сплюснутые Сплюснутые it) — m(ip + 1)
с' \»
0
1 2 і
4
5
6 7
10 11 12
13
14
15
16
»
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
о.ов
0.07 0.06
0.05 0.04 0.03 0.02 0.01 0.00
1
0.000000 -0.204 695 -0.419293 -0.644596 -0.881446
-1.130712 -1.393280 -1,670028 -1.961809 -2.269420
-2.593577 -2.934882 -3.293803 -3.670646 -4.065548
-4.478470 -4.909200
і
-0.306825 -0.318148 -0.330984 -0.345469 -0.361702
-0.379735 -0.399564 -0.421125 -0.444308 -0.468974
-0.494976 -0,522180 -0.550474 -0.579775 -0.610027
-0.641193 -0.673251 -0.706186 -0,739985 -0.774638
-0.310135 -0.846468 -0.883628 -0.921608 -0.960401 -1.000000
[' П
4.000000 3.567527 3.127202 2.678958 2.222747
1.758534 1.286300 0.806045 +0.317782 -0.178458
-0.682630 -1.194673 -1.714511 -2.242055 -2.777205
-3,319848 -3,869861
Iі I"']
-0.241866 -0.266693 -0.291340 -0.315894 -0.340450
-0.365113 -0.389998 -0.415222 -0,440907 -0.467166
-0.494104 -0.521805 -0.550335 -0.579732 -0.610016
-0.641191 -0.673251 -0.706186 -0.739985 -0.774638
-0.810135 -0.846468 -0.883628 -0.921608 -0.960401 -1.000000 Г і - 4)11
L 5 J
3 ' 10.000000 9.534818 9.073104 8.615640 8.163245
7.716768 7.277072 6.845015 6.421425 6.007074
5.602649 5.208724 4.825732 4.453947 4.093464
3.744202
3.405903
[1 Л
3
0.21286 0.17062 0.13125 D. 0 94 76 0.06107
0.03001 +0.00127 -0.02563 -0.05142 -0.07710
-0.10406 -0.13412 -0.16924 -0.21076 -0.25868
-0.31185 -0.36901 -0.42934 -0.49242 -0.55807
-0.62616 -0.69657 -0.76923 -0.84406 -0.92100 -1.00000
[(-4)8]
18.000000 17.520683 17.043817 16.569461 16.097655
15.628426 15.161786 14.697727 14.236229 13.777252
13.320743 12.866634 12.414840 11.965266 11.517В03
11.072331 10.628718
m
4
0.66429 0.57759 0.49460 0.41533 0.33974
0.26779 0.19942 0.13449 0.07282 +0.01411
-0.04205 -0.09625 -0.14929 -0.20210 -0.25572
-0.31111
-0,36888 -0.42932 -0.49242 -0.55807
-0.62616 -0.69657 -0.76923 -0.84406 -0.92100 -1.00000
28.000000 27.513713 27.029223 26.546548 26.065706
25.586715 25.109592 24.634357 21.161031 23.689634
23.220190 22.752726 22.287271 21.823856 21.362516
20.903290 20.446222
[1-Г]
5
1.2778 1.1420 1.0120 0.8879 0.7697
0.6575 0.5515 0.4520 0.3591 0.2735 .
0.1958 0.1271
о.обео +0.0183 -0.0250
-0.0685 -0.1219 -0.1907 -0.2714 -0.3598
-0.4542 -0.5540 -0.6588 -0.7682 -0.8820 -1.0000
mСОБСТВЕННЫЕ ЗНАЧЕНИЯ
Таблица 21,1. Собственные значения — вытянутые Вытянутые
Wc)- »Cm + 1)
сЛ"
0
1 г 3
5
6
7
8
9.
10 11 12
13
14
15
16
C-1Xw 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
2
0.000 ООО 0.140948 0.278219 0.412006 0.542495
0.669857 0.794252 0.915832 1.034738 1.151100
1.265042 1.376681 1.486122 1.593469 1.698816
1.802252 1.903860
[(-44>6]
2
0.475965 0.489447 0.503526 0.518220 0.533551
0.549534 0.566185 0.583513 0.601526 0.620224
0.639604 0.659659 0.680376 0.701737 0.723722
0.746308 0.769471 0.793186 0.817429 0.842175
0.867402 0.893087 0.919209 0.945747 0.972684 1.000000
['f9]
3
6.000000 6.331101 6.657791 6.980147 7.298250
7.612179 7.922016 8.227840 8.529734 8.827778
9.122052 9.412636 9.699610 9.983052 10.263039
10.539650 10.812958
[(-44>6]
3
2.703239 2.683149 2.665356 2.650003 2.63/236
2.627196 2.620017 2.615819 2.614701 2.616735
2.621954 2.630349 2.641862 2.656384 2.673764
2.693817 2.716339 2.741120 2.767960 2.796673
2.827089
2.859059 2.892449 2.927138 2.963019 3.000000
m
Xs„(c)-6
14.000000 14.402353 14.804100 15.205077 15.605133
16.004126 16,401931 16.798429 17.193516 17.587093
17.979073 18.369377 18.757932 19.144675 19.529549
19.912501 20.293486
«-'Ы'Н!
4
5.073371 4.994116 4.919290 4.849313 4.784640
4.725757 4.673177 4.627427 4.589031 4.558480
4.536196
4.522485 4.517479 4.521086 4.532956
4.552484 4.578871 4.611219 4.648642 4.690346
4.735658 4.784022 4.834980 4.888160 4.943252 5.000000
m
24.000000 24.436145 24.872744 25.309731 25.747043
26.184612 26.622373 27.060261 27.498208 27.936151
28.374023 28.811761 29.249302 29.686584 30.123544
30.560125 30.996267
m
5
7.74906 7.58138 7.41971 7.26479 7.11743