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

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

Published $\text {1968}$


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$30 \quad$ Chebyshev Polynomials


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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

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