About the Project
5 Gamma FunctionComputation

§5.22 Tables

Contents
  1. §5.22(i) Introduction
  2. §5.22(ii) Real Variables
  3. §5.22(iii) Complex Variables

§5.22(i) Introduction

For early tables for both real and complex variables see Fletcher et al. (1962), Lebedev and Fedorova (1960), and Luke (1975, p. 21).

§5.22(ii) Real Variables

Abramowitz and Stegun (1964, Chapter 6) tabulates Γ(x), lnΓ(x), ψ(x), and ψ(x) for x=1(.005)2 to 10D; ψ′′(x) and ψ(3)(x) for x=1(.01)2 to 10D; Γ(n), 1/Γ(n), Γ(n+12), ψ(n), log10Γ(n), log10Γ(n+13), log10Γ(n+12), and log10Γ(n+23) for n=1(1)101 to 8–11S; Γ(n+1) for n=100(100)1000 to 20S. Zhang and Jin (1996, pp. 67–69 and 72) tabulates Γ(x), 1/Γ(x), Γ(x), lnΓ(x), ψ(x), ψ(x), ψ(x), and ψ(x) for x=0(.1)5 to 8D or 8S; Γ(n+1) for n=0(1)100(10)250(50)500(100)3000 to 51S.

§5.22(iii) Complex Variables

Abramov (1960) tabulates lnΓ(x+iy) for x=1 (.01) 2, y=0 (.01) 4 to 6D. Abramowitz and Stegun (1964, Chapter 6) tabulates lnΓ(x+iy) for x=1 (.1) 2, y=0 (.1) 10 to 12D. This reference also includes ψ(x+iy) for the same arguments to 5D. Zhang and Jin (1996, pp. 70, 71, and 73) tabulates the real and imaginary parts of Γ(x+iy), lnΓ(x+iy), and ψ(x+iy) for x=0.5,1,5,10, y=0(.5)10 to 8S.

pFad - Phonifier reborn

Pfad - The Proxy pFad of © 2024 Garber Painting. All rights reserved.

Note: This service is not intended for secure transactions such as banking, social media, email, or purchasing. Use at your own risk. We assume no liability whatsoever for broken pages.


Alternative Proxies:

Alternative Proxy

pFad Proxy

pFad v3 Proxy

pFad v4 Proxy