j0.3 (ee7093a6400feef3d8a99579f28577817d70f6ad) | j0.3 (345241c5e055c870eadf4784840a1e2f741a8882) |
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1.\" Copyright (c) 1985, 1991 Regents of the University of California. 2.\" All rights reserved. 3.\" 4.\" Redistribution and use in source and binary forms, with or without 5.\" modification, are permitted provided that the following conditions 6.\" are met: 7.\" 1. Redistributions of source code must retain the above copyright 8.\" notice, this list of conditions and the following disclaimer. --- 14 unchanged lines hidden (view full) --- 23.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 24.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 25.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 26.\" SUCH DAMAGE. 27.\" 28.\" from: @(#)j0.3 6.7 (Berkeley) 4/19/91 29.\" $FreeBSD$ 30.\" | 1.\" Copyright (c) 1985, 1991 Regents of the University of California. 2.\" All rights reserved. 3.\" 4.\" Redistribution and use in source and binary forms, with or without 5.\" modification, are permitted provided that the following conditions 6.\" are met: 7.\" 1. Redistributions of source code must retain the above copyright 8.\" notice, this list of conditions and the following disclaimer. --- 14 unchanged lines hidden (view full) --- 23.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 24.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 25.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 26.\" SUCH DAMAGE. 27.\" 28.\" from: @(#)j0.3 6.7 (Berkeley) 4/19/91 29.\" $FreeBSD$ 30.\" |
31.Dd January 14, 2005 | 31.Dd February 18, 2008 |
32.Dt J0 3 33.Os 34.Sh NAME 35.Nm j0 , 36.Nm j0f , 37.Nm j1 , 38.Nm j1f , 39.Nm jn , --- 83 unchanged lines hidden (view full) --- 123.Em Bessel function of the second kind for the integer 124.Em order 125.Fa n 126for the positive 127.Em real 128value 129.Fa x . 130.Sh RETURN VALUES | 32.Dt J0 3 33.Os 34.Sh NAME 35.Nm j0 , 36.Nm j0f , 37.Nm j1 , 38.Nm j1f , 39.Nm jn , --- 83 unchanged lines hidden (view full) --- 123.Em Bessel function of the second kind for the integer 124.Em order 125.Fa n 126for the positive 127.Em real 128value 129.Fa x . 130.Sh RETURN VALUES |
131If these functions are successful, 132the computed value is returned. | 131These routines return values of their respective Bessel functions. 132For large positive inputs, they may underflow and return \*(Pm0. 133.Pp 134The following applies to 135.Fn y0 , 136.Fn y0f , 137.Fn y1 , 138.Fn y1f , 139.Fn yn , 140and 141.Fn ynf . 142If 143.Fa x 144is negative, these routines will generate an invalid exception and 145return \*(Na. 146If 147.Fa x 148is 0 or a sufficiently small positive number, these routines 149will generate an overflow exception and return -\*(If. |
133.Sh SEE ALSO 134.Xr math 3 | 150.Sh SEE ALSO 151.Xr math 3 |
152.Sh STANDARDS 153The 154.Fn j0 , 155.Fn j1 , 156.Fn jn , 157.Fn y0 , 158.Fn y1 , 159and 160.Fn yn 161functions conform to 162.St -p1003.1-2001 . 163The 164.Ft float 165versions are extensions. |
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135.Sh HISTORY 136This set of functions 137appeared in 138.At v7 . | 166.Sh HISTORY 167This set of functions 168appeared in 169.At v7 . |