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/GNU Fortran 7

9.45 BESSEL_YN — Bessel function of the second kind

Description:

BESSEL_YN(N, X) computes the Bessel function of the second kind of order N of X. This function is available under the name BESYN as a GNU extension. If N and X are arrays, their ranks and shapes shall conform.

BESSEL_YN(N1, N2, X) returns an array with the Bessel functions of the first kind of the orders N1 to N2.

Standard:

Fortran 2008 and later, negative N is allowed as GNU extension

Class:

Elemental function, except for the transformational function BESSEL_YN(N1, N2, X)

Syntax:
RESULT = BESSEL_YN(N, X)
RESULT = BESSEL_YN(N1, N2, X)
Arguments:
N Shall be a scalar or an array of type INTEGER .
N1 Shall be a non-negative scalar of type INTEGER.
N2 Shall be a non-negative scalar of type INTEGER.
X Shall be a scalar or an array of type REAL; for BESSEL_YN(N1, N2, X) it shall be scalar.
Return value:

The return value is a scalar of type REAL. It has the same kind as X.

Note:

The transformational function uses a recurrence algorithm which might, for some values of X, lead to different results than calls to the elemental function.

Example:
program test_besyn
  real(8) :: x = 1.0_8
  x = bessel_yn(5,x)
end program test_besyn
Specific names:
Name Argument Return type Standard
DBESYN(N,X) INTEGER N REAL(8) GNU extension
REAL(8) X

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