This work shows that Chebyshev polynomials of the first kind Tn (X) and of the second kind Un (X) grant permission be represented as the alters of the monomial Xn each by a hyperdifferential operator for fear that they concede possibility be calculated surely from a symbolic recipe similar to the Lucas rule for Bernoulli polynomials. It exposes also a new approach for acquiring their create functions by operator arithmetic built from the derivative ∂x and the “reproduce by x” operators a suggestion of correction fastidious summations.
Author(s) Details:
Do Tan Si,
Ho Chi Minh-City Physical Association, Ho Chi
Minh-City, Vietnam and ULB (Bruxelles, Belgium) and UEM, Mons, Belgium.
Please see the link here: https://stm.bookpi.org/NFPSR-V8/article/view/9687
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