Справочник по специальным функциям - Абрамович М.
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0.1
( 0)-3.00000 00 ( 0-2.67035 54 ( 0)-2.32590 02 ( 0)-1.96633 24 ( 0)-1.59134 63
( 0)-1.20063 19 -1-7.93875 31 (-1)-3.70753 28 (-2) + 6.90415 20 (-1) 5.25850 66
0.2
( 0)-1.00000 00 (-1)-8.32139 43 (-1-6.57495 96 (-1)-4.75937 91 (-1)-2.87331 90
(-2)-9.15428 01 -1+1.11566 21 -1 3.22133 74 (-1) 5.40300 15 (-1) 7,66207 59
0.3
(-1)-3.33333 33 (-1 -2.19718 27 ( 1)-1.01932 12 (-2)+2.01024 24 (-1) 1.46463 65
2.77230 84
4.12484 23
5.52305 08
6.96775 63
8.45979 18
-2) -1 -1 (-1)
її'
0.4
0.00000 00
8.63057 33
1.75514 40
2.67677 48
3.62847 08
4.61075 95
5.62417 45
6.66925 61
7.74655 09
8.85661 23
Г-11
0.5
' 2.00000 00 2.69801 05 3.41768 30 4.15938 56 4.92349 10
5.71037 59 6.52042 19 7.35401 47 8.21154 46. 9.09340 66
0.0 ( 0) 1.00000 00 ( 0) 1.00000 00 ( 0). 1.00000 00 ( 0) 1.00000 00 ( 0) 1.00000 00
( 0) 1.49182 47
( 0) 2.00166 43
( 0) 2.52986 27
( 0) 3.07676 32
( 0) 3.64273 38
4.22811 68 4.83327 91
5.45858 73
6.10441 27
6.77113 12
1.24182 32 1.49182 47 1.75015 41 2.01696 26 2.29240 35
2.57663 20 2.66980 51 3.17208 18 3.48362 30 3.80459 19
1.15892 34
1.32283 59
1.49182 47
1.66597 84
1.84538 67
2.03014 00
2.22033 03
2.41605 02
2,61739 39 2.82445 63
1.11772 81
1.23890 28
1.36358 21
1.49182 47
1.62369 00
1.75923 82
1.89852 99
2.04162 67
2.18859 08
2.33948 51
( (
( 0 ( о) ( 0)
( 0) ( 0) ( 0 ( 0) ( о)
1.09317 29 .1.18890 02 1.28722 33 1.38818 41 1.49182 47
1.59818 80 1.70731 73 1.81925 64 1.93404 94 2.05174 12
1.28326 80 1.33388 28 1.38550 43 1.43814 76 1.49182 47 вырожденная гйяерґєометрйчбская фуіікция
Таблица 13.1. Вырождеапан пшергеометрическая функция М(а, Ь, х)
а\Ъ
-1.0 -0.9 -0.8 -0.7 -0.6
-0.5 -0.4 -0.3 -0.2 -0.1
0.1 0.2 0.3 0.4 0.5
0.6 0.7 0.8 0.9 1.0
0.1
0)-4.00000 00 0)-3.61201 86 0 -3.20079 89 0)-2.76573 85 0)-2.30622 47
0)-1.82163 45 0)-1.31133 45 -1)-7.74681 00 -1)-2.11019 41 -1)+3.80315 52
0.2
0)-1.50000 00 0)-1.30112 70 О)-1.09161 33 -1)-8.71196 18 -1)-6.39608 65
(-1)-3.96579 38 -1)-1.41832 63 (-1)+1.24911 75 -l) 4.03938 42 (-1) 6.95536 57
¦г =0.5
0.3
(-1)-6.66666 67 (-1)-5.31342 47 (-1)-3.89475 90 (-1)-2.40912 78 (-2)-8.54965 30
(-2)+7.69319 06 (-1) 2.46534 08 (-1) 4.23474 05 6.07918 46 8.00036 50
0.4
-1)-2.50000 00
-1-1.46751 27 -2)-3.89499 09 -2)+7.35066 66
(-1) 1.90722 60
0.5
0.00000 00
(-2) 8.38114 43
(-1) 1.71019 66 (-1 2.61697 96 (-1) 3.55920 78-
(-1) (-1)
3.12803 64
4.39857 14
5.71992 06
7.09319 04
8.51950 36
щ
4.53763 61 5.55303 09 6.60617 00 7.69784 21 8.82884 81
( 0) 1.00000 00 ( 0) 1.00000 00 ( 0) 1.00000 00 ( 0) 1.00000 00 ( 0) 1.00000 00
1.64872 13
2.32717 78
3.03607 92
3.77614 69
4.54811 35
5.35272 38
6.19073 40
7.06291 26
7.97004 04
8.91291 03
1.31762 72
1.64872 13
1.99359 02
2.35254 68
2.72590 86
3.11399 83
3.51714 35
3.93567 68
4.36993 59
4.82026 39
1.20798 34
1.42416 39
1.64872 13
1.88183 81
2.12369 98
2.37449 45
2.63441 32
2.90364 98
3.18240 09
3.47086 63
1.15358 36
1.31281 87
1.47782 42
1.64872 13
1.82563 24
2.00868 23
2.19799 70 2.39370 49
2.59593 60
2.80482 21
1.12121 22
1.24660 50
1.37626 32
1.51027 29
1.64872 13
1.79169 69
1.93928 94
2.09159 01
2.24869 11
2.41068 61
-1.0 -0.9 -0.8 -0.7 -0.6
-0.5 -0.4
-0.1
0.1 0.2 0.3 0.4
0.6 0.7
0.9 1.0
0.6
1.66666 67 2.37390 35
3.10765 94 3.86848 36
4.65693 33
5.47357 40 6.31897 89
7.19372 99
8.09841 67
9.03363 78
щ
(-1 І-1
0.7
2.85714 29 3.46998 42 4.10420 52 4,76023 18 5.43849 54
6.13943 38 ?.86349 09 7.61111 66 8.38276 72 9.17890 54
0.0 ( 0) 1.00000 00 ( 0) 1.00000 00
1.09981 19 1.20286 18
1.30921 31
1.41892 99
1.53207 73
1.64872 13
1.76892 87
1.89276 74
2.02030 62
2.15161 47
1.08465 27 1.17189 67 1.26178 10 '1.35435 51 1.44966 91
0) 1.54777 40
О) 1.64872 13
0) 1.75256 32
0) 1.85935 29
0) 1.96914 38
1.0
(-1) 5.00000 00 (-1) 5.44007 21 (-1) 5.89284 39 (-1) 6.35854 17 (-1) 6.83739 50
(-1) 7.32963 60 (-1) 7.83550 00
-1 8.35522 55
(-1) 8.88905 38 (-1) 9.43722 94
( 0) 1.00000 00
1.05776.16 1.11703 33 1.17784 06 1.24020 96 1.30416 68
1.41532 79
1.49114 29
1.56892 95
1.64872 13
1.73055 26
0) 1.36973 88
0 1.43695 27
0) 1.50583 59
0) 1.57641 61
0) 1,64872 13
22 — под ред. В. А. Диткяна, Л. Н. Кармазнной 338
13. вырожденные гипергеометрические функции
Таблица 13.1. Вырожденная гипсргеомстркческая фупнккя М{а, Ь, х)
а\Ь
-1.0 -0.9 -0.8 -0.7 -0.6
-0.5 -0.4 -0.3 -0.2 -0.1
0.1 0.2 0.3 0.4 0.5
0.6 0.7 0.8 0.9 1.0
0.1
( 0)-5.00000 00 ( 0)-4.56442 36 ( 0)-4.09525 03 ( 0)-3.59141 57 (' 0)-3.05183 34
( 0)-2.47539 54 0)-1.86097 11 ( 0)-1.20740 73 (-1)-5.13527 80 (-1) + 2.21866 89
