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1 | J0(3) BSD Programmer's Manual J0(3) |
2 | ||
3 | N\bNA\bAM\bME\bE | |
4 | j\bj0\b0, j\bj1\b1, j\bjn\bn, y\by0\b0, y\by1\b1, y\byn\bn - bessel functions of first and second kind | |
5 | ||
6 | S\bSY\bYN\bNO\bOP\bPS\bSI\bIS\bS | |
7 | #\b#i\bin\bnc\bcl\blu\bud\bde\be <\b<m\bma\bat\bth\bh.\b.h\bh>\b> | |
8 | ||
9 | _\bd_\bo_\bu_\bb_\bl_\be | |
10 | j\bj0\b0(_\bd_\bo_\bu_\bb_\bl_\be _\bx); | |
11 | ||
12 | _\bd_\bo_\bu_\bb_\bl_\be | |
13 | j\bj1\b1(_\bd_\bo_\bu_\bb_\bl_\be _\bx); | |
14 | ||
15 | _\bd_\bo_\bu_\bb_\bl_\be | |
16 | j\bjn\bn(_\bi_\bn_\bt _\bn, _\bd_\bo_\bu_\bb_\bl_\be _\bx); | |
17 | ||
18 | _\bd_\bo_\bu_\bb_\bl_\be | |
19 | y\by0\b0(_\bd_\bo_\bu_\bb_\bl_\be _\bx); | |
20 | ||
21 | _\bd_\bo_\bu_\bb_\bl_\be | |
22 | y\by1\b1(_\bd_\bo_\bu_\bb_\bl_\be _\bx); | |
23 | ||
24 | _\bd_\bo_\bu_\bb_\bl_\be | |
25 | y\byn\bn(_\bi_\bn_\bt _\bn, _\bd_\bo_\bu_\bb_\bl_\be _\bx); | |
26 | ||
27 | D\bDE\bES\bSC\bCR\bRI\bIP\bPT\bTI\bIO\bON\bN | |
28 | The functions j\bj0\b0() and j\bj1\b1() compute the _\bB_\be_\bs_\bs_\be_\bl _\bf_\bu_\bn_\bc_\bt_\bi_\bo_\bn _\bo_\bf _\bt_\bh_\be _\bf_\bi_\br_\bs_\bt _\bk_\bi_\bn_\bd | |
29 | _\bo_\bf _\bt_\bh_\be _\bo_\br_\bd_\be_\br 0 and the _\bo_\br_\bd_\be_\br 1, respectively, for the real value _\bx; the | |
30 | function j\bjn\bn() computes the _\bB_\be_\bs_\bs_\be_\bl _\bf_\bu_\bn_\bc_\bt_\bi_\bo_\bn _\bo_\bf _\bt_\bh_\be _\bf_\bi_\br_\bs_\bt _\bk_\bi_\bn_\bd _\bo_\bf _\bt_\bh_\be | |
31 | _\bi_\bn_\bt_\be_\bg_\be_\br Bessel0 _\bn for the real value _\bx. | |
32 | ||
33 | The functions y\by0\b0() and y\by1\b1() compute the linearly independent _\bB_\be_\bs_\bs_\be_\bl | |
34 | _\bf_\bu_\bn_\bc_\bt_\bi_\bo_\bn _\bo_\bf _\bt_\bh_\be _\bs_\be_\bc_\bo_\bn_\bd _\bk_\bi_\bn_\bd _\bo_\bf _\bt_\bh_\be _\bo_\br_\bd_\be_\br 0 and the _\bo_\br_\bd_\be_\br 1, respectively, | |
35 | for the postive _\bi_\bn_\bt_\be_\bg_\be_\br value _\bx (expressed as a double); the function | |
36 | y\byn\bn() computes the _\bB_\be_\bs_\bs_\be_\bl _\bf_\bu_\bn_\bc_\bt_\bi_\bo_\bn _\bo_\bf _\bt_\bh_\be _\bs_\be_\bc_\bo_\bn_\bd _\bk_\bi_\bn_\bd _\bf_\bo_\br _\bt_\bh_\be _\bi_\bn_\bt_\be_\bg_\be_\br | |
37 | Bessel0 _\bn for the postive _\bi_\bn_\bt_\be_\bg_\be_\br value _\bx (expressed as a double). | |
38 | ||
39 | R\bRE\bET\bTU\bUR\bRN\bN V\bVA\bAL\bLU\bUE\bES\bS | |
40 | If these functions are successful, the computed value is returned. On the | |
41 | VAX and Tahoe architectures, a negative _\bx value results in an error; the | |
42 | global variable _\be_\br_\br_\bn_\bo is set to EDOM and a reserve operand fault is gen- | |
43 | erated. | |
44 | ||
45 | S\bSE\bEE\bE A\bAL\bLS\bSO\bO | |
46 | math(3), infnan(3) | |
47 | ||
48 | H\bHI\bIS\bST\bTO\bOR\bRY\bY | |
49 | A set of these functions function appeared in Version 7 AT&T UNIX. | |
50 | ||
51 | 4th Berkeley Distribution June 4, 1993 1 |