A natural continuous interpolating structure for continued fractions

✍ Scribed by John Gill

• Book ID: 104338908
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 153 KB
• Volume: 105
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(99)00037-0

✦ Synopsis

A continued fraction in the complex plane is a discrete expansion having approximants {Fn} for n = 1; 2; : : : : There is a naturally derived function F(t), continuous and piecewise di erentiable for t ¿ 0, such that F(n) = Fn for each n.