I have forgotten
my Password

Or login with:

  • Facebookhttp://facebook.com/
  • Googlehttps://www.google.com/accounts/o8/id
  • Yahoohttps://me.yahoo.com
get GPL
COST (GBP)
this unit 2.81
sub units 0.00
+
0
MathsSpecialBessel

hankel

viewed 2011 times and licensed 50 times
Hankel's asymptotic expansion of large values of \a x
Controller: CodeCogs

get GPL add to cart

Interface

C++
Excel
HTML

Hankel

 
doublehankeldoublex
doublev )
There are two types of functions known as Hankel functions. The more common one is a complex function (also called a Bessel function of the third kind, or Weber Function) which is a linear combination of Bessel functions of the first and second kinds. These are called the Hankel functions of the first and second kinds. The other type of Hankel function (this one) is defined by the contour integral:

for \Im [\omega] < 0 , \mid arg(-\omega) \mid < \pi , v \not= 2\pi k > 0, where C_v is a Hankel contour.

See also Maths/Special/Bessel/J/J and Maths/Special/Bessel/Y/Y

References:

Cephes Math Library Release 2.8: June, 2000

Parameters

xinput argument
vorder

Authors

Stephen L. Moshier. Copyright 1984, 1987, 2000
Documentation by Will Bateman (August 2005)
Source Code

Source code is available when you agree to a GP Licence or buy a Commercial Licence.

Not a member, then Register with CodeCogs. Already a Member, then Login.