The characteristics of each kind of Chebyshev polynomial may be determined using a hyper-differential operator applied to a monomial and the symbolic formula n n n) x C (: x B T (x): cos. It also reveals a novel method for getting their generating functions using operator calculus, which is based on the derivative and positional operators.
Do Tan Si,
HoChiMinh-city Physical Association, Vietnam and Former researcher at ULB (Bruxelles) and UEM (Mons), Belgium.
Please see the link here: https://stm.bookpi.org/NTPSR-V2/article/view/6619
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