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| .\" from: @(#)j0.3 6.7 (Berkeley) 4/19/91 |
| .\" $FreeBSD: src/lib/msun/man/j0.3,v 1.13 2005/01/14 23:28:28 das Exp $ |
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| .Dd January 14, 2005 |
| .Dt J0 3 |
| .Os |
| .Sh NAME |
| .Nm j0 , |
| .Nm j0f , |
| .Nm j1 , |
| .Nm j1f , |
| .Nm jn , |
| .Nm jnf , |
| .Nm y0 , |
| .Nm y0f , |
| .Nm y1 , |
| .Nm y1f , |
| .Nm yn , |
| .Nm ynf |
| .Nd Bessel functions of first and second kind |
| .Sh LIBRARY |
| .Lb libm |
| .Sh SYNOPSIS |
| .In math.h |
| .Ft double |
| .Fn j0 "double x" |
| .Ft float |
| .Fn j0f "float x" |
| .Ft double |
| .Fn j1 "double x" |
| .Ft float |
| .Fn j1f "float x" |
| .Ft double |
| .Fn jn "int n" "double x" |
| .Ft float |
| .Fn jnf "int n" "float x" |
| .Ft double |
| .Fn y0 "double x" |
| .Ft float |
| .Fn y0f "float x" |
| .Ft double |
| .Fn y1 "double x" |
| .Ft float |
| .Fn y1f "float x" |
| .Ft double |
| .Fn yn "int n" "double x" |
| .Ft float |
| .Fn ynf "int n" "float x" |
| .Sh DESCRIPTION |
| The functions |
| .Fn j0 , |
| .Fn j0f , |
| .Fn j1 |
| and |
| .Fn j1f |
| compute the |
| .Em Bessel function of the first kind of the order |
| 0 and the |
| .Em order |
| 1, respectively, |
| for the |
| real value |
| .Fa x ; |
| the functions |
| .Fn jn |
| and |
| .Fn jnf |
| compute the |
| .Em Bessel function of the first kind of the integer |
| .Em order |
| .Fa n |
| for the real value |
| .Fa x . |
| .Pp |
| The functions |
| .Fn y0 , |
| .Fn y0f , |
| .Fn y1 , |
| and |
| .Fn y1f |
| compute the linearly independent |
| .Em Bessel function of the second kind of the order |
| 0 and the |
| .Em order |
| 1, respectively, |
| for the |
| positive |
| .Em real |
| value |
| .Fa x ; |
| the functions |
| .Fn yn |
| and |
| .Fn ynf |
| compute the |
| .Em Bessel function of the second kind for the integer |
| .Em order |
| .Fa n |
| for the positive |
| .Em real |
| value |
| .Fa x . |
| .Sh RETURN VALUES |
| If these functions are successful, |
| the computed value is returned. |
| .Sh SEE ALSO |
| .Xr math 3 |
| .Sh HISTORY |
| This set of functions |
| appeared in |
| .At v7 . |