ABSTRACT

CHAPTER 4

4.1. Introduction

The error function defined by

(4.1.1) erf(u) := 2√ pi

dx

is one of the basic non-elementary special functions. The coefficient 2/ √ pi is

a normalization factor that has the effect of giving erf(∞) = 1 in view of the normal integral

(4.1.2)

dx =

√ pi

2 .