CHAPTER 11 - The Gamma, Beta, Pi, and Psi Functions

Abstract

This chapter discusses the gamma, beta, pi, and psi functions. The gamma function, denoted by Γ(x), provides a generalization of n factorial n to the case in which n is not an integer. It is defined by the Euler integral. The chapter presents the special function of Γ(x) and the gamma function in the complex plane. Care must be exercised when using the psi function in conjunction with other reference sources because on occasions.