Representing derivatives of Chebyshev polynomials by Chebyshev polynomials

TL;DR

This paper presents an explicit formula for derivatives of Chebyshev polynomials, replacing the previous recursion-based approach, which simplifies calculations and enhances understanding of these derivatives.

Contribution

The paper introduces an explicit formula for derivatives of Chebyshev polynomials, improving upon the traditional recursion method.

Findings

Explicit formula simplifies derivative calculations.

Enhanced understanding of Chebyshev polynomial derivatives.

Potential applications in numerical analysis and approximation theory.

Abstract

A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula.