Problem #PRU-61507

Problems Geometry Solid geometry Visual geometry in space

Problem

Find the generating functions of the sequences of Chebyshev polynomials of the first and second kind: $F_{T} (x, z) = \sum_{n = 0}^{\infty} T_{n} (x) z^{n}; F_{U} (x, z) = \sum_{n = 0}^{\infty} U_{n} (X) z^{n} .$

Definitions of Chebyshev polynomials can be found in the handbook.

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