Values of Special Functions in format x,F(x) or x,y,F(x,y)
Gamma Function
17 Values
 1.0    1.000000
 1.2    0.918169
 1.4    0.887264
 1.6    0.893515
 1.8    0.931384
 2.0    1.000000
 0.2    4.590845
 0.4    2.218160
 0.6    1.489192
 0.8    1.164230
-0.2    -5.821149
-0.4    -3.722981
-0.6    -3.696933
-0.8    -5.738555
10.0    3.6288000E05
20.0    1.2164510E17
30.0    8.8417620E30
N-factorial
18 Values
1      1
2      2
3      6
4      24
5      120
6      720
7      5040
8      40320
9      362880
10     3628800
11     39916800
12     479001600
13     6227020800
14     87178291200
15     1.3076755E12
20     2.4329042E18
25     1.5511222E25
30     2.6525281E32
Binomial Coefficients
20 Values
1      0       1
6      1       6
6      3       20
6      5       6
15     1       15
15     3       455
15     5       3003
15     7       6435
15     9       5005
15     11      1365
15     13      105
25     1       25
25     3       2300
25     5       53130
25     7       480700
25     9       2042975
25     11      4457400
25     13      5200300
25     15      3268760
25     17      1081575
Beta Function
15 Values
1.0    1.0     1.000000
0.2    1.0     5.000000
1.0    0.2     5.000000
0.4    1.0     2.500000
1.0    0.4     2.500000
0.6    1.0     1.666667
0.8    1.0     1.250000
6.0    6.0     3.607504E-04
6.0    5.0     7.936508E-04
6.0    4.0     1.984127E-03
6.0    3.0     5.952381E-03
6.0    2.0     0.238095E-01
7.0    7.0     8.325008E-05
5.0    5.0     1.587302E-03
4.0    4.0     7.142857E-03
3.0    3.0     0.333333E-01
2.0    2.0     1.666667E-01
Incomplete Gamma Function
20 Values
0.1    3.1622777E-02   0.7420263
0.1    3.1622777E-01   0.9119753
0.1    1.5811388       0.9898955
0.5    7.0710678E-02   0.2931279
0.5    7.0710678E-01   0.7656418
0.5    3.5355339       0.9921661
1.0    0.1000000       0.0951626
1.0    1.0000000       0.6321206
1.0    5.0000000       0.9932621
1.1    1.0488088E-01   0.0757471
1.1    1.0488088       0.6076457
1.1    5.2440442       0.9933425
2.0    1.4142136E-01   0.0091054
2.0    1.4142136       0.4130643
2.0    7.0710678       0.9931450
6.0    2.4494897       0.0387318
6.0    12.247449       0.9825937
11.0   16.583124       0.9404267
26.0   25.495098       0.4863866
41.0   44.821870       0.7359709
Error Function
20 Values
0.0    0.000000
0.1    0.1124629
0.2    0.2227026
0.3    0.3286268
0.4    0.4283924
0.5    0.5204999
0.6    0.6038561
0.7    0.6778012
0.8    0.7421010
0.9    0.7969082
1.0    0.8427008
1.1    0.8802051
1.2    0.9103140
1.3    0.9340079
1.4    0.9522851
1.5    0.9661051
1.6    0.9763484
1.7    0.9837905
1.8    0.9890905
1.9    0.9927904
Incomplete Beta Function
20 Values
0.5    0.5     0.01    0.0637686
0.5    0.5     0.10    0.2048328
0.5    0.5     1.00    1.0000000
1.0    0.5     0.01    0.0050126
1.0    0.5     0.10    0.0513167
1.0    0.5     1.00    1.0000000
1.0    1.0     0.5     0.5000000
5.0    5.0     0.5     0.5000000
10.0   0.5     0.9     0.1516409
10.0   5.0     0.5     0.0897827
10.0   5.0     1.0     1.0000000
10.0   10.0    0.5     0.5000000
20.0   5.0     0.8     0.4598773
20.0   10.0    0.6     0.2146816
20.0   10.0    0.8     0.9507365
20.0   20.0    0.5     0.5000000
20.0   20.0    0.6     0.8979414
30.0   10.0    0.7     0.2241297
30.0   10.0    0.8     0.7586405
40.0   20.0    0.7     0.7001783
Bessel Function J0
20 Values
-5.0   -0.1775968
-4.0   -0.3971498
-3.0   -0.2600520
-2.0    0.2238908
-1.0    0.7651976
 0.0    1.0000000
 1.0    0.7651977
 2.0    0.2238908
 3.0   -0.2600520
 4.0   -0.3971498
 5.0   -0.1775968
 6.0    0.1506453
 7.0    0.3000793
 8.0    0.1716508
 9.0   -0.0903336
10.0   -0.2459358
11.0   -0.1711903
12.0    0.0476893
13.0    0.2069261
14.0    0.1710735
15.0   -0.0142245
Bessel Function Y0
15 Values
 0.1   -1.5342387
 1.0    0.0882570
 2.0    0.51037567
 3.0    0.37685001
 4.0   -0.0169407
 5.0   -0.3085176
 6.0   -0.2881947
 7.0   -0.0259497
 8.0    0.2235215
 9.0    0.2499367
10.0    0.0556712
11.0   -0.1688473
12.0   -0.2252373
13.0   -0.0782079
14.0    0.1271926
15.0    0.2054743
Bessel Function J1
20 Values
-5.0    0.3275791
-4.0    0.0660433
-3.0   -0.3390590
-2.0   -0.5767248
-1.0   -0.4400506
 0.0    0.0000000
 1.0    0.4400506
 2.0    0.5767248
 3.0    0.3390590
 4.0   -0.0660433
 5.0   -0.3275791
 6.0   -0.2766839
 7.0   -0.0046828
 8.0    0.2346364
 9.0    0.2453118
10.0    0.0434728
11.0   -0.1767853
12.0   -0.2234471
13.0   -0.0703181
14.0    0.1333752
15.0    0.2051040
Bessel Function Y1
15 Values
 0.1   -6.4589511
 1.0   -0.7812128
 2.0   -0.1070324
 3.0    0.3246744
 4.0    0.3979257
 5.0    0.1478631
 6.0   -0.1750103
 7.0   -0.3026672
 8.0   -0.1580605
 9.0    0.1043146
10.0    0.2490154
11.0    0.1637055
12.0   -0.0570992
13.0   -0.2100814
14.0   -0.1666448
15.0    0.0210736
Bessel Function Jn, n>=2
20 Values
2      1.0      1.149034849E-01
2      2.0      3.528340286E-01
2      5.0      4.656511628E-02
2      10.0     2.546303137E-01
2      50.0    -5.971280079E-02
5      1.0      2.497577302E-04
5      2.0      7.039629756E-03
5      5.0      2.611405461E-01
5      10.0    -2.340615282E-01
5      50.0    -8.140024770E-02
10     1.0      2.630615124E-10
10     2.0      2.515386283E-07
10     5.0      1.467802647E-03
10     10.0     2.074861066E-01
10     50.0    -1.138478491E-01
20     1.0      3.873503009E-25
20     2.0      3.918972805E-19
20     5.0      2.770330052E-11
20     10.0     1.151336925E-05
20     50.0    -1.167043528E-01
Bessel Function Yn, n>=2
20 Values
2      1.0     -1.650682607
2      2.0     -6.174081042E-01
2      5.0      3.676628826E-01
2      10.0    -5.868082460E-03
2      50.0     9.579316873E-02
5      1.0     -2.604058666E02
5      2.0     -9.935989128
5      5.0     -4.536948225E-01
5      10.0     1.354030477E-01
5      50.0    -7.854841391E-02
10     1.0     -1.216180143E08
10     2.0     -1.291845422E05
10     5.0     -2.512911010E01
10     10.0    -3.598141522E-01
10     50.0     5.723897182E-03
20     1.0     -4.113970315E22
20     2.0     -4.081651389E16
20     5.0     -5.933965297E08
20     10.0    -1.597483848E03
20     50.0     1.644263395E-02
Modified Bessel Function I0
20 Values
0.0    1.0000000
0.2    1.0100250
0.4    1.0404018
0.6    1.0920453
0.8    1.1665149
1.0    1.2660658
1.2    1.3937256
1.4    1.5533951
1.6    1.7499807
1.8    1.9895593
2.0    2.2795852
2.5    3.2898391
3.0    4.8807925
3.5    7.3782035
4.0    11.301922
4.5    17.481172
5.0    27.239871
6.0    67.234406
8.0    427.56411
10.0   2815.7167
Modified Bessel Function K0
20 Values
0.1    2.4270690
0.2    1.7527038
0.4    1.1145291
0.6    0.77752208
0.8    0.56534710
1.0    0.42102445
1.2    0.31850821
1.4    0.24365506
1.6    0.18795475
1.8    0.14593140
2.0    0.11389387
2.5    6.2347553E-02
3.0    3.4739500E-02
3.5    1.9598897E-02
4.0    1.1159676E-02
4.5    6.3998572E-03
5.0    3.6910983E-03
6.0    1.2439943E-03
8.0    1.4647071E-04
10.0   1.7780062E-05
Modified Bessel Function I1
20 Values
0.0    0.00000000
0.2    0.10050083
0.4    0.20402675
0.6    0.31370403
0.8    0.43286480
1.0    0.56515912
1.2    0.71467794
1.4    0.88609197
1.6    1.0848107
1.8    1.3171674
2.0    1.5906369
2.5    2.5167163
3.0    3.9533700
3.5    6.2058350
4.0    9.7594652
4.5    15.389221
5.0    24.335643
6.0    61.341937
8.0    399.87313
10.0   2670.9883
Modified Bessel Function K1
20 Values
0.1    9.8538451
0.2    4.7759725
0.4    2.1843544
0.6    1.3028349
0.8    0.86178163
1.0    0.60190724
1.2    0.43459241
1.4    0.32083589
1.6    0.24063392
1.8    0.18262309
2.0    0.13986588
2.5    7.3890816E-02
3.0    4.0156431E-02
3.5    2.2239393E-02
4.0    1.2483499E-02
4.5    7.0780949E-03
5.0    4.0446134E-03
6.0    1.3439197E-03
8.0    1.5536921E-04
10.0   1.8648773E-05
Modified Bessel Function Kn, n>=2
28 Values
2      0.2     49.512430
2      1.0     1.6248389
2      2.0     2.5375975E-01
2      2.5     1.2146021E-01
2      3.0     6.1510459E-02
2      5.0     5.3089437E-03
2      10.0    2.1509817E-05
2      20.0    6.3295437E-10
3      1.0     7.101262825
3      2.0     6.473853909E-01
3      5.0     8.291768415E-03
3      10.0    2.725270026E-05
3      50.0    3.72793677E-23
5      1.0     3.609605896E02
5      2.0     9.431049101
5      5.0     3.270627371E-02
5      10.0    5.754184999E-05
5      50.0    4.36718224E-23
10     1.0     1.807132899E08
10     2.0     1.624824040E05
10     5.0     9.758562829
10     10.0    1.614255300E-03
10     50.0    9.15098819E-23
20     1.0     6.294369369E22
20     2.0     5.770856853E16
20     5.0     4.827000521E08
20     10.0    1.787442782E02
20     50.0    1.70614838E-21
Modified Bessel Function In, n>=2
28 Values
2      0.2     5.0166876E-03
2      1.0     1.3574767E-01
2      2.0     6.8894844E-01
2      2.5     1.2764661
2      3.0     2.2452125
2      5.0     17.505615
2      10.0    2281.5189
2      20.0    3.9312785E07
3      1.0     2.216842492E-02
3      2.0     2.127399592E-01
3      5.0     1.033115017E01
3      10.0    1.758380717E01
3      50.0    2.67776414E20
5      1.0     2.714631560E-04
5      2.0     9.825679323E-03
5      5.0     2.157974547
5      10.0    7.771882864E02
5      50.0    2.27854831E20
10     1.0     2.752948040E-10
10     2.0     3.016963879E-07
10     5.0     4.580044419E-03
10     10.0    2.189170616E01
10     50.0    1.07159716E20
20     1.0     3.966835986E-25
20     2.0     4.310560576E-19
20     5.0     5.024239358E-11
20     10.0    1.250799736E-04
20     50.0    5.44200840E18
Bessel Function Ja+n
18 Values
0      0.5     0.5     0.5409738
1      0.5     0.5     0.09170170
2      0.5     0.5     0.009236408
3      0.5     0.5     0.0006623786
4      0.5     0.5     0.00003689213
0      0.5     3.5     -0.1496046
1      0.5     3.5     0.3566427
2      0.5     3.5     0.4552983
3      0.5     3.5     0.2937835
4      0.5     3.5     0.1322688
-1     0.5     0.5     0.9902459
-2     0.5     0.5     -2.521466
-3     0.5     0.5     14.13855
-4     0.5     0.5     -138.8640
-1     0.5     3.5     -0.3993868
-2     0.5     3.5     0.2637151
-3     0.5     3.5     0.1733453
-4     0.5     3.5     -0.5113513
Modified Bessel Function Ia+n
14 Values
0      0.5     0.2     0.3592084
1      0.5     0.2     0.02388361
2      0.5     0.2     0.0009542545
3      0.5     0.2     0.00002724712
0      0.5     1.0     0.9376749
1      0.5     1.0     0.2935253
2      0.5     1.0     0.05709891
3      0.5     1.0     0.008030780
-1     0.5     0.2     1.819926
-2     0.5     0.2     -8.740420
-3     0.5     0.2     132.9262
-1     0.5     1.0     1.231200
-2     0.5     1.0     -0.2935253
-3     0.5     1.0     2.111776
Exponential Integral Ex
6 Values
0.1    1.8229237549
0.5    0.5597735950
1.0    0.2193839344
1.5    0.1000195826
3.0    0.0130483813
5.0    0.0011482986
Exponential Integral Ass
12 Values
1      0.25    0.31152031E1
3      0.25    0.12772332E3
5      0.25    0.24575836E5
7      0.25    0.11796478E8
9      0.25    0.10569646E11
11     0.25    0.15220290E14
1      24.0    0.15729727E-11
3      24.0    0.17095154E-11
5      24.0    0.18707497E-11
7      24.0    0.20636507E-11
9      24.0    0.22979296E-11
11     24.0    0.25874295E-11
Exponential Integral Bs
12 Values
2      0.25    -0.16771066
4      0.25    -0.10074586
6      0.25    -0.07200876
8      0.25    -0.05603029
10     0.25    -0.04585627
12     0.25    -0.03880972
1      24.0    1103713422.07
3      24.0    1015569641.84
5      24.0    940918885.93
7      24.0    876791258.53
9      24.0    821052542.62
11     24.0    772122289.32
Legendre Polynomials
19 Values
1      0       1.0             1.224745
10     0       1.0             3.240370
20     0       1.0             4.527693
1      0       0.7071067       0.866025
10     0       0.7071067       0.373006
20     0       0.7071067      -0.874140
1      0       0.0             0.000000
10     0       0.0            -0.797435
20     0       0.0             0.797766
2      2       0.7071067       0.484123
10     2       0.7071067      -0.204789
20     2       0.7071067       0.910208
2      2       0.0             0.968246
10     2       0.0             0.804785
20     2       0.0            -0.799672
10     10      0.7071067       0.042505
20     10      0.7071067      -0.707252
10     10      0.0             1.360172
20     10      0.0            -0.853705