A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
@article{bwmeta1.element.doi-10_1515_math-2017-0096, author = {Helmut Prodinger}, title = {Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions}, journal = {Open Mathematics}, volume = {15}, year = {2017}, pages = {1156-1160}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0096} }
Helmut Prodinger. Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions. Open Mathematics, Tome 15 (2017) pp. 1156-1160. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0096/