The spiral of Theodorus, numerical analysis, and special functions

DOI10.1016/J.CAM.2009.11.054zbMath1201.01004OpenAlexW2034506891MaRDI QIDQ607251

Walter Gautschi

Publication date: 19 November 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.054

zbMATH Keywords

Gaussian quadratureBose-Einstein distributionslowly convergent seriesspiral of Theodorus

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05) Numerical quadrature and cubature formulas (65D32) Other special orthogonal polynomials and functions (33C47) Numerical integration (65D30) Numerical summation of series (65B10) History of Greek and Roman mathematics (01A20) History of geometry (51-03)

Related Items (1)

Quadrature Formulas of Gaussian Type for Fast Summation of Trigonometric Series

Uses Software

• OPQ

Cites Work

• Gleichverteilung und Quadratwurzelschnecke
• Variable-precision recurrence coefficients for nonstandard orthogonal polynomials
• Leonhard Euler's Integral: A Historical Profile of the Gamma Function: In Memoriam: Milton Abramowitz
• Gaussian Quadrature Involving Einstein and Fermi Functions with an Application to Summation of Series
• A Class of Slowly Convergent Series and their Summation by Gaussian Quadrature
• The Spiral of Theodorus
• Calculation of Gauss Quadrature Rules
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The spiral of Theodorus, numerical analysis, and special functions