BesselI

BesselI[n,z]

gives the modified Bessel function of the first kind .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • satisfies the differential equation .
  • BesselI[n,z] has a branch cut discontinuity in the complex z plane running from to .
  • FullSimplify and FunctionExpand include transformation rules for BesselI.
  • For certain special arguments, BesselI automatically evaluates to exact values.
  • BesselI can be evaluated to arbitrary numerical precision.
  • BesselI automatically threads over lists.

Examples

open allclose all

Basic Examples  (3)

Evaluate numerically:

In[1]:=
Click for copyable input
Out[1]=

Plot :

In[1]:=
Click for copyable input
Out[1]=
In[1]:=
Click for copyable input
Out[1]=

Scope  (5)

Generalizations & Extensions  (1)

Applications  (1)

Properties & Relations  (8)

Possible Issues  (1)

Neat Examples  (1)

See Also

BesselK  AiryBi  BesselJ  BesselY

Tutorials

Introduced in 1988
(1.0)
| Updated in 1999
(4.0)