Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 30

From ProofWiki
Jump to navigation Jump to search

Murray R. Spiegel: Mathematical Handbook of Formulas and Tables: Chapter 30

Published $\text {1968}$.


Previous  ... Next

$30 \quad$ Chebyshev Polynomials

Chebyshev's Differential Equation

Chebyshev Polynomials of the First Kind

Special Chebyshev Polynomials of the First Kind

Generating Function for $\map {T_n} x$

Special Values

Recursion Formula for $\map {T_n} x$

Orthogonality

Orthogonal Series

Chebyshev Polynomials of the Second Kind

Special Chebyshev Polynomials of the Second Kind

Generating Function for $\map {U_n} x$

Special Values

Recursion Formula for $\map {U_n} x$

Orthogonality

Orthogonal Series

Relationships between $\map {T_n} x$ and $\map {U_n} x$

General Solution of Chebyshev's Differential Equation

Previous  ... Next