-
[section:hankel Hankel Functions]
[section:cyl_hankel Cyclic Hankel Functions]
The functions __cyl_hankel_1 and __cyl_hankel_2 return the result of the
[@http://dlmf.nist.gov/10.2#P3 Hankel functions] of the first and second kind respectively:
-[:['cyl_hankel_1(v, x) = H[sub v][super (1)](x) = J[sub v](x) + i Y[sub v](x)]]
+[expression ['cyl_hankel_1(v, x) = H[sub v][super (1)](x) = J[sub v](x) + i Y[sub v](x)]]
-[:['cyl_hankel_2(v, x) = H[sub v][super (2)](x) = J[sub v](x) - i Y[sub v](x)]]
+[expression ['cyl_hankel_2(v, x) = H[sub v][super (2)](x) = J[sub v](x) - i Y[sub v](x)]]
where:
The one exception is when ['v] is a small positive integer, in which case the usual Bessel function
routines for integer order are used.
-[endsect]
-
+[endsect] [/section:cyl_hankel Cyclic Hankel Functions]
[section:sph_hankel Spherical Hankel Functions]
These functions are trivially implemented in terms of __cyl_hankel_1 and __cyl_hankel_2.
-[endsect]
-[endsect]
+[endsect] [/section:sph_hankel Spherical Hankel Functions]
+
+[endsect] [/section:hankel Hankel Functions]
+
[/
Copyright 2012 John Maddock.