Справочник по специальным функциям - Абрамович М.
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11.57537 057
14.19080 811 1В.50515 528 27.04503 467 52.39539 613
с;м
- 0.84270 74
- 0.78748 95
- 0.73029 59
- 0.67104 20
- 0.60963 61
- 0.54597 91
- 0.47996 38
- 0.41147 39
- 0. 34038 30
- 0.26655 35
- 0.18983 51
- 0.11006 36
- 0.02705 91 + 0. 05937 63
0.14946 05
0.24343 42 0.34156 40 0.44414 64 0.55151 17 0.66402 96
0. 78211 54 0.90623 72 1.03692 51 1.17478 21 1.32049 75
1.47486 32 1.63879 46 1.81335 60 1.99979 32 2.19957 51
2.41444 73
2.64650 26 2.89В27 40
3.17286 02
3.47409 64
З.В0679 33 4.17707 50 4.59287 14 5.06465 07 5.60654 69
6.23В15 05
6.98747 73
7.89613 09
9.02883 27
10.49236 44
12.47698 56
15.35932 33
20.00905 43
29. 00735 14
55.11181 39
QS M
- 2. 87734 35
- 2.88206 72
- 2. 88297 33
- 2.87989 70
- 2. 87266 39
- 2. 86108 89
- 2. 84497 53
- 2. 82411 36
- 2. 79828 02
- 2.76723 56
- 2.73072 34
- 2.68846 75
- 2.64017 05
- 2.58551 08
- 2.52414 00
- 2.45567 92
- 2.37971 49
- 2.29579 49
- 2.20342 26
- 2.10205 04
- 1.99107 23
- 1.86981 51
- 1.73752 72
- 1.59336 54
- 1.43637 96
- 1.26549 27
- 1. 0794 7 65
- 0. 87692 20
- 0.65620 16
- 0.41542 09
- 0.15235 72 + 0.13562 04
0.45165 68
0.79955 16
1.18395 08
1.61061 19 2.0В677 72
2.62171 45
3.22751 63
3.92032 16
4.72224 63 5.66456 11 6. 79318 58 8.17876 62
9.93658 04
12.26978 50
15.57616 37
20.76422 38
30.50045 90
57. 80864 53
QiM
- 4. 66319 54
- 4.55737 62
- 4.3936В 94
- 4.17156 11
- 3.89102 65
- 3.55277 54
- 3.15819 61
- 2.70941 73
- 2.20934 79
- 1.66171 26
- 1.07108 51
- 0.44291 60 + 0.21644 47
0.89973 10 1.59875 12
2.30438 77 3.00660 55 3.69447 22 4.35619 14 4. 97914 99
5.54998 34 6.05466 05 6.47859 09 6.80675 90 7. 0238В 88
7.11464 51 7.06387 68 6.85691 02 6.47990 33 5.92027 14
5.16720 18 4.21227 67 3.05023 28 1.67989 36 * 0.10532 57
- 1. 66270 85
- 3.60489 91
- 5. 69098 02
- 7.87652 81 -10. 09858 18
-12.26944 98 -14.26758 89 -15.92348 54 -16.99643 22 -17.13329 84
-15.78782 62 -12.04072 38
- 4.11777 87 +12.32933 89
54.86521 05
Qln(I)
- 3.49322В
- 3.947399
- 4.355894
- 4.710854
- 5. 004695
- 5.230233
- 5.380807
- 5.450406
- 5.433812
- 5.326732
- 5.125950
- 4.829465
- 4.436645
- 3.948368
- 3.367169
- 2.697375
- 1.945245
- 1.119087
- 0.229371 + 0. 711177
1.687501 2.682165 3.675339 4.644816 5. 566082
6.412431 7.155161 7.763836 8.206652 8.450921
8.463693 8.212559 7.666669 6.798024 5.583115
4.005017 + 2.056070
- 0.258625
- 2.916594
- 5. 871760
- 9. 045801 -12.315713 -15.495090 -18. 304274 -20.319071
-20.873659 -18.851215 -12.140718 ¦к 4. 242107 49.428990ФУНКЦИИ ЛЕЖАНДРА ПЕРВОГО РОДА Р„(х)
171
Таблица 8.5. Функции Лежаидра первого рода PJx)
1.0 1.2 1.4 1.6 1.8
4.0 4.2 4.4 4.6 4.8
5.0 5.2 5.4
5.6 5. В
7.0 7.2 7.4 7.6 7.8
8.0 8.2 8.4 8.6 8.6
9.0 9.2 9.4 9.6 9.8
PjW 1.00 1.66 2.44 3.34 4,36
2. 0 5. 50
2.2 6. 76
2. 4 в. 14 2.6 9. 64 2.8 11.^26
3. 0 13. 00 3.2 14..86 3.4 16.84 3.6 18.94 3.8 21.16
23. 50 25. 96 28.54 31.24 34. 06
37.00 40.06 43. 24 46. 54 49.96
6. 0 53. 50
6. 2 57.16
6.4 60. 94
6. 6 64. 84
6. 8 68. 86
73. 00 77. 26 81.64 86.14 90.76
95. 50 100.36 105.34 110.44 115.66
121.00 126. 46 132. 04 137.74 143. 56
PaW 1. 00 2. 52 4.76 7.84 11. 88
17.00 23.32 30.96 40. 04 50.68
63.00 77.12 93.16 111.24 131.48
154. 00 178. 92 206.36 236.44 269. 28
305. 00 343.72 385. 56 430. 64 479. 08
531. 00 586. 52 645. 76 708. 84 775. 88
847.00 922.32 1001.96 1086.04 1174.68
1268.00 1366.12 1469.16 1577.24 1690.48
1809.00 1932.92 2062.36 2197.44 2338. 28
PoW-I
P.W 1.00000 4.04700 9.83200 (1)1.94470 1)3.41520
PiW=I
5.53750 В. 47120 1.23927 1.74952 2. 39887
3.21000 4.20727 5.41672 6. 86607 8. 58472
1.06038 1.29559 1. 56757 1. 87991 2.23641
12.64100
13. 09781 13.61111
14. 18537 14. 82519
(3)5. 53538 (3)6.32087 (3)7.18681 (3)8.13847
(3)9.18133
(4)1.03210 (4)1.15633 (4)1.29142 (4 1.43797 (4)1.59663
11.76804 11.95286 12.15176 12.36546 12.59466
12. 84010 13.10252 13.38268 13.68137
13. 99938
P5 W 1.00000 6. 72552 1)2.09686
1)4.97354
2)1.01148
(2)1.85750 (2)3.16804 (2)5.10597
(2)7.86743
(3)1.16849
ill
11.68300 12. 36169 13.24050 14.36022 15. 76676
(3)7. 51150
(3)9. 65154
(4)1.22500 (4)1. 53765 (4)1.91071
2. 35250 2. 87205 3.47916 4.18440 4.99917
(4)5. 93572 (4)7. 00717 (4)В. 22754
(4)9.61180
(5)1.11759
(5)1. 29367 (5)1.49122 (5)1.71215 (5)1.95846 (5 2.23227
12.53583 12.87149 13.24171 13.64912 4. 09643
14.58649 15.12230 15. 70699 16.34383 17. 03621
Po(J) 1.00000 16. 02754 15. 03668 12. 45973 8. 97882
12.71007 17.13591 11.69353 13.70173 П. 56647
( 6)1.46256 ( 6)2. 69625 ( 6)4.77208
6)8.15181 ( 7)1.34978