# Asymptotic Expansions for Some Special Functions

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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

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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

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