Mathematical  Culture and Thought

Mathematical Culture and Thought

Chebyshev ‎P‎olynomials: A Brief Review

Document Type : Review

Authors
Department of Mathematical Sciences‎, ‎Sharif University of Technology‎, ‎Iran
Abstract
Chebyshev polynomials are remarkable families of polynomials that arise in diverse domains of mathematics, often in unexpected ways. One of the pioneering investigations into these polynomials was conducted by the eminent Russian mathematician Pafnuti Chebyshev in the 19th century. Chebyshev's researches, primarily situated within the field of approximation theory, has yielded significant applications in mathematics, as well as other scientific and engineering disciplines, including interpolation theory and linear algebra. In this article, we will introduce these captivating polynomials and explore some of their fundamental properties and applications.
Keywords
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  • Receive Date 27 April 2024
  • Revise Date 01 September 2024
  • Accept Date 05 September 2024
  • Publish Date 23 September 2025