An improved procedure for the accurate evaluation of polygamma functions with integer and half-integer argument

✍ Scribed by F. Di Marzio

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 158 KB
• Volume: 39
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/0010-4655(86)90095-0

✦ Synopsis

By reformulating the equations governing such polygamma functions in terms of a truncated Riemann Zeta function, we derive expressions which enable their evaluation to a much higher degree of accuracy without any additional computational effort.