Asymptotic Expansions for Some Special Functions
Initializing live version
![](/img/demonstrations-branding.png)
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
The most common type of asymptotic expansion for a function is a formal series that can be truncated after a finite number of terms to a sum that provides an approximation to the function for large values of
. This is usually written as
.
Contributed by: S. M. Blinder (August 2018)
Open content licensed under CC BY-NC-SA
Details
An asymptotic series is divergent if has an essential singularity at
. The series is said to represent
asymptotically if
.
Snapshots
Permanent Citation