Notes on explicit and inversion formulas for the Chebyshev polynomials of the first two kinds
Overview & Synopsis
In the paper, starting from the Rodrigues formulas for the Chebyshev polynomials of the first and second kinds, by virtue of the Fa\`a di Bruno formula, with the help of two identities for the Bell polynomials of the second kind, and making use of a new inversion theorem for combinatorial coefficients, the authors derive two nice explicit formulas and their corresponding inversion formulas for the Chebyshev polynomials of the first and second kinds.
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Document Information
| Document Title | Notes on explicit and inversion formulas for the Chebyshev polynomials of the first two kinds |
|---|---|
| Author / Organization | Feng Qi, Da-Wei Niu, Dongkyu Lim |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2019 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-7508 |
| Original Source Link | Visit Source Page on hal.science » |