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MMN-2976

Notes on explicit and inversion formulas for the Chebyshev polynomials of the first two kinds

Feng Qi; Da-Wei Niu; Dongkyu Lim;

Abstract

In the note, starting from the Rodrigues formulas for the Chebyshev polynomials of the first and second kinds, by virtue of the Fa\`a di Bruno formula, two identities for the Bell polynomials of the second kind, and an inversion formula for combinatorial coefficients, the authors derive two explicit formulas and corresponding inversion formulas for the Chebyshev polynomials of the first and second kinds.


Vol. 20 (2019), No. 2, pp. 1129-1137
DOI: 10.18514/MMN.2019.2976


Download: MMN-2976