# Asymptotic Expansions for Some Special Functions

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

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

.

[more]
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