Sponsored links: Algebra eBooks
 

Help Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

The Maxima on-line user's manual

Algebra Calculator

Search:

Hankel_2

Function: hankel_2 (<v>, <z>) The Hankel function of the second kind of order v and argument z (A&S 9.1.4). hankel_2 is defined as

bessel_j(v,z) - %i * bessel_y(v,z)

Maxima evaluates hankel_2 numerically for a real order v and complex argument z in float precision. The numerical evaluation in bigfloat precision and for a complex order v is not supported.

When besselexpand is true, hankel_2 is expanded in terms of elementary functions when the order v is half of an odd integer. See besselexpand.

Maxima knows the derivative of hankel_2 wrt the argument z.

For examples see hankel_1.

(%o1)                                true
(%i2) 

Related Examples

hankel_2-powerseries-sin-taylor

powerseries(hankel_2(...

taylor(sin(z),z,0,3);

Calculate

hankel_2-powerseries-sin-taylor

powerseries(hankel_2(...

taylor(sin(z),z,0,3);

Calculate

hankel_2-powerseries-sin-taylor

powerseries(hankel_2(...

taylor(sin(z),z,0,3);

Calculate

hankel_2-powerseries-sin-taylor

powerseries(hankel_2(...

taylor(sin(z),z,0,3);

Calculate

hankel_2-powerseries-sin-taylor

powerseries(hankel_2(...

taylor(sin(z),z,0,3);

Calculate

hankel_2-powerseries-sin

powerseries(hankel_2(...

powerseries(sin(z),z,0);

Calculate

hankel_2-powerseries-sin

powerseries(hankel_2(...

powerseries(sin(z),z,0);

Calculate

hankel_2-powerseries

powerseries(hankel_2 ...

Calculate

hankel_2-powerseries-sin-taylor

powerseries(hankel_2(...

taylor(sin(z),z,0,3);

Calculate

hankel_2

hankel_2 (v,z);

Calculate