specfun.f90 File Reference

Special mathematical functions. More...

Go to the source code of this file.

Functions/Subroutines
subroutine, public	specfun::bessel (n, x, tol, j, dj, y, dy)
	Bessel functions. More...
subroutine, public	specfun::hankel (n, x, tol, h1, dh1, h2, dh2)
	Hankel functions. More...
recursive real(dp) function, public	specfun::factorial (n)
	Calculates factorial.
real(dp) function, public	specfun::digamma (n)
	Calculates digamma function. More...

Detailed Description

Special mathematical functions.

Author

Pavel Ferkl

Bessel and other mathematical functions.

Definition in file specfun.f90.

Function/Subroutine Documentation

bessel()

subroutine, public specfun::bessel	(	integer, intent(in)	n,
		complex(dp), intent(in)	x,
		real(dp), intent(in)	tol,
		complex(dp), dimension(0:n), intent(out)	j,
		complex(dp), dimension(0:n), intent(out)	dj,
		complex(dp), dimension(0:n), intent(out)	y,
		complex(dp), dimension(0:n), intent(out)	dy
	)

Bessel functions.

Calculates Bessel functions of the first and second kind and their derivatives for complex argument

Definition at line 19 of file specfun.f90.

digamma()

real(dp) function, public specfun::digamma

(

integer, intent(in)

n

)

Calculates digamma function.

taken from http://mathworld.wolfram.com/DigammaFunction.html

Definition at line 126 of file specfun.f90.

hankel()

subroutine, public specfun::hankel	(	integer, intent(in)	n,
		complex(dp), intent(in)	x,
		real(dp), intent(in)	tol,
		complex(dp), dimension(0:n), intent(out)	h1,
		complex(dp), dimension(0:n), intent(out)	dh1,
		complex(dp), dimension(0:n), intent(out)	h2,
		complex(dp), dimension(0:n), intent(out)	dh2
	)

Hankel functions.

Calculates Hankel functions of the first and second kind and their derivatives for complex argument.

Definition at line 81 of file specfun.f90.