Справочник по специальным функциям - Абрамович М.
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(- 3)2.21737 88
(- 4)2.15798 83
(- 4)2.82474 71 (- 6)4.53098 74
( 8)4.80631 83
( 8) 5.05257 20
( 8)5.46799 57
і 8)5.27524 17
( 8)4.26215 66
( 8)2.94147 89
40)2.09183 70 40)2.09575 00
40)2.10754 45 40)2.12738 84 40)2.15556 69
( 40)2.19249 18
1 п 5 10 15 <ч>
0.16 -0.25532 994 -1.30027 164 -11.53046 855 -51.32546 875 - 55.93485 112 39
0.12 -0,25393 098 -1.28658 971 -11.12574 983 -56.10964 961 -108.31442 060 69
0.08 -0.25257 851 -1.27371 191 -10.78895 146 -51.15347 975 -132.59692 424 156
0.04 -0.25126 918 -1.26154 161 -10.50135 748 -47.72149 533 -114.76358 461 625
0.00 -0,25000 000 -1.25000 000 -10.25000 000 -45.25000 000 -105.25000 009 ™
Для ga.r л fc,r см. 20.8.12.
<0> — ближайшее к q целое число. 20. функции матье
Таблица 20.2. Коэффициенты .-!„, и Вт А„
т\г 0 2 10 ?»\г 1 5 15
Q +0,54061 2446 +0.43873 7166 +0.00000 1679 1 +0.76246 3686 +0,07768 579В 0.00000 0000
2 -0.62711 5414 +0.65364 0260 +0.00003 3619 3 -0.&3159 6319 +0.30375 1030 +0.00000 0002
.4 +0.14792 7090 -0.42657 8935 + 0.00064 2987 S +0.13968 4806 +0.92772 8396 +0.00000 0106
6 -0.01784 8061 +0.07588 5673 +0.01078 4807 7 -0.01491 5596 -0.20170 6148 +0.00000 4227
S +0.00128 2863 -0.00674 1769 + 0.13767 5121 9 + 0.00094 4Є42 + 0.01827 4579 -0.00014 8749
10 -0.00006 0723 + 0.00036 4*542 + 0.9S395 5640 11 -О.ООООЗ 9702 -0.00095 9038 +0.00428 1393
12 +0.00000 2028 -0.0С001 3376 -0.11280 6780 13 +0.00000 1189 +0.00003 3457 +0.08895 20І4
14 -0.00000 0050 +0.00000 0355 +0.00589 2962 15 -о.ооооо 0027 -0.00000 0839 +0.99297 4092
16 +0.00000 0001 -0.00000 0007 -0.0001В 9166 17 +0.00000 0001 +0.00000 0016 -0.07786 7946
18 +0.00000 4226 19 +0.00206 6409
20 -0,00000 0071 21 -0.00006 6394
22 + 0,00000 0001 23 25 +0,001300 -0.00000 1092 0014
9-25
т\г 0 2 10 т\г 1 5 15
0 +0.4Р974 1038 + 0.33086 5777 + 0.00502 6361 1 +0.39125 2265 +0.65659 0398 +0.00000 4658
2 -0.69199 9610 -0.04661 4551 +0.02075 4391 3 -Q.7A0A8 2467 +0.36900 ее г а +0.00003 7337
4 +0.36554 4890 -0.64770 5862 +0.07232 7761 і + 0.50665 3803 -0.19827 8623 +0.00032 002&
6 -0.13057 5523 +0.55239 9372 + 0.23161 1726 7 -0.19814 2336 -0.48Э37 4067 + 0.00254 0806
8 +0.03274 5863 -0.22557 4697 + 0.55052 4391 9 +0.05064 0536 +0.37311 2810 +0.01770 9603
10 -0.00598 3606 +0.05685 2843 + 0.63227 5658 11 -0.00910 8920 -0.1227S 1866 +0.10045 8755
12 +0.00082 3792 -0.00984 6277 -0.46882 9197 13 +0.00121 2В64 +0.02445 3935 +0.40582 7402
14 -0.00008 7961 +0.00124 8919 + 0,13228 7155 15 -0.00012 4121 -0.00335 133? +0.83133 2650
16 +0.00000 7466 -0.00012 1205 -0.02206 0893 17 +0.00001 0053 +0.00033 9214 -0.35924 8831
18 -0.00000 0514 +0.00000 9296 +0.00252 2374 19 -О.ООООО 0660 -0.00002 6552 +0.06821 6074
20 +0.00000 0029 -0.0000U 0578 -0.00021 3672 21 +0.00000 0036 +0.00000 1661 -0.00802 4550
22 -0.00000 0001 +0.00000 0030 +0.00001 4078 23 -0.00000 0002 -0.00000 0085 +0.00066 6432
24 -0.00000 0001 -0.00000 0746 25 +0.00000 0004 -0.00004 1930
26 + 0.00000 0032 27 +0.00000 2090
2В -0,00000 0001 29 -0.00000 0035
31 + 0.00000 0003
Bm
q-Ъ
m\r 2 10 гп\г 1 5 15
2 +0.93342 9442 +0.00003 3444 1 +0.94001 9024 +0.05038 2462 0.00000 0000
4 -0.35480 3915 + 0.00064 2976 3 -0.33654 1963 +0.29736 5513 +0.00000 0002
6 +0.05296 3730 + 0.01078 4807 5 +0.05547 7529 +0.93156 6997 +0.00000 OlOo
8 -0.00429 5885 +0.13767 5120 7 -0.00508 9553 -0.20219 363.3 +0.00000 4227
10 ¦0.00021 9797 +0.98395 5640 9 +0.00029 3879 +0.01ВЗО 5721 +0.00014 8749
12 -0.00000 7752 -0.11280 6780 11 -0.00001 1602 -0.00096 0277 + 0.00428 1392
14 +0,00000 0200 +0.005В9 2962 13 +0.00000 0332 +0.00003 3493 +0.08895 2014
16 -0.00000 0004 -"0.00018 9166 15 -0.00000 0007 -0.00000 0842 4 0,99297 4092
18 +0.00000 4227 17 +0.00000 0017 -0.07786 79 4о
20 -о.ооооо 0070 19 + 0.00286 6409
22 +0.00000 0001 21 -0.00006 6394
23 +0,00000 1093
25 -0.00000 0013
Ч- 25
т\г 2 10 mV 1 15
2 +0.65743 9912 +0.01800 3596 1 + 0.81398 3846 +0.30117 4196 +0.00000 3717
4 -0.66571 9990 +0.07145 6762 3 -0.52931 0219 +0.62719 8468 + 0.00003 7227
6 ¦ 0,33621 0033 + 0.23131 0990 5 +0.22890 0813 +0.17т07 1306 +0.00032 0013
8 -0.10507 3258 +0.55054 4783 7 -0.06818 2972 -0.60550 5349 +0.00254 ОВ04
10 +0.02236 2380 + 0.63250 8Т50 9 +0.01453 0886 +0.33003 2984 +0,01770 9с03
12 -0.00344 2304 -0.4Ь893 3949 11 -0.00229 5765 -0.09333 5984 +0.10045 8755
14 +0.00040 0182 +0.1323 С 9765 13 +0.00027 7422 +0.01694 2545 + 0.40582 7403
16 -0,00003 6315 -0.Q2206 3990 15 -0.00002 6336 -0.00217 7430 +0.83133 265Q
18 +0.00000 2640 +0.00252 2676 17 + 0.00000 2009 +0.00021 0135 -0.35924 8630
20 -0.00000 0157 -0.00021 3694 19 -0.00000 0126 -О.ОСГС01 5851 + 0.06821 6074
22 + 0.00000 0008 +0.00001 4079 21 + 0,00000 0007 +0.00000 0962 -0.00802 4551
24 -О.ОООСО 0746 23 -0.00000 0048 +0.00066 6432
26 + 0.00000 0033 25 +0.00000 0002 -0.00004 1930
27 +0.00000 2090
