PRODUCTS
Mathematica
Mathematica Home Edition
Mathematica for Students
Mathematica for the Classroom
grid
Mathematica
Wolfram Lightweight Grid Manager
web
Mathematica
Mathematica Player
(free download)
Mathematica Player Pro
Wolfram
Workbench
Mathematica
Applications
SOLUTIONS
Industry
Chemical Engineering
Image Processing
Mechanical Engineering
Petroleum Engineering
Environmental Sciences
Bioinformatics
Data Analysis and Mining
Financial Risk Management
Statistics
Software Engineering
More...
Education
Higher Education
Precollege Education
Students
Technology
Interactive Deployment
High-Performance and Parallel Computing (HPC)
See Also: Technology Guide
PURCHASE
Online Store
Other Ways to Buy
Volume & Site Licensing
Contact Sales
Software
Service
Upgrades
Training
Books
FOR USERS
All User Resources
Product Registration
Technical Support
Customer Service
Developer Support
Does My Site Have a License?
Free Seminars
Learning Center
Training
Custom Group Seminars
Documentation & Examples
Tutorial Screencasts
Video Gallery
Demonstrations Project
Education Portal
Student Resources
COMPANY
About Wolfram Research
News & Events
Wolfram Blog
Employment Opportunities
History of
Mathematica
Stephen Wolfram's Home Page
Contact Us
OUR SITES
Wolfram|Alpha
Demonstrations Project
Wolfram Blog
MathWorld
Integrator
Wolfram Functions Site
Mathematica Journal
Wolfram Library Archive
Wolfram
Tones
Wolfram Science
Stephen Wolfram
DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Special Functions
>
Bessel-Related Functions
>
Built-in
Mathematica
Symbol
Special Functions
Tutorials »
|
KelvinKer
KelvinBei
BesselK
See Also »
|
Bessel-Related Functions
New in 6.0: Mathematical Functions
More About »
KelvinKei
KelvinKei
[
z
]
gives the Kelvin function
.
KelvinKei
[
n
,
z
]
gives the Kelvin function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
For positive real values of parameters,
. For other values,
is defined by analytic continuation.
KelvinKei
[
n
,
z
]
has a branch cut discontinuity in the complex
z
plane running from
to
.
KelvinKei
[
z
]
is equivalent to
KelvinKei
[0,
z
]
.
For certain special arguments,
KelvinKei
automatically evaluates to exact values.
KelvinKei
can be evaluated to arbitrary numerical precision.
KelvinKei
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Plot
:
In[1]:=
Out[1]=
Series at the origin:
In[1]:=
Out[1]=
Scope
(4)
Generalizations & Extensions
(1)
Applications
(2)
Properties & Relations
(3)
SEE ALSO
KelvinKer
KelvinBei
BesselK
TUTORIALS
Special Functions
MORE ABOUT
Bessel-Related Functions
New in 6.0: Mathematical Functions
New in 6
. For other values, 
is defined by analytic continuation. 
to 
.
EXAMPLES
Basic Examples 
Scope 