# Pell's equation and series expansions for irrational numbers

Research paper by Chuanan Wei

Indexed on: 20 Jan '16Published on: 20 Jan '16Published in: Mathematics - Number Theory

#### Abstract

Solutions of Pell's equation and hypergeometric series identities are used to study series expansions for $\sqrt{p}$ where $p$ are arbitrary prime numbers. Numerous fast convergent series expansions for this family of irrational numbers are established.