Hyperdifferential and Symbolic Representations of Chebyshev Polynomials

Si, Do Tan (2023) Hyperdifferential and Symbolic Representations of Chebyshev Polynomials. In: New Frontiers in Physical Science Research Vol. 8. B P International, pp. 71-86. ISBN 978-81-19102-10-5

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Abstract

This work shows that Chebyshev polynomials of the first kind Tn (X) and of the second kind Un (X) may be represented as the transforms of the monomial Xn each by a hyperdifferential operator so that they may be calculated easily from a symbolic formula similar to the Lucas formula for Bernoulli polynomials. It exposes also a new approach for obtaining their generating functions by operator calculus built from the derivative
x and the “multiply by x” operators instead of fastidious summations.

Item Type: Book Section
Subjects: STM Open Academic > Physics and Astronomy
Depositing User: Unnamed user with email admin@eprint.stmopenacademic.com
Date Deposited: 02 Oct 2023 05:34
Last Modified: 02 Oct 2023 05:34
URI: http://publish.sub7journal.com/id/eprint/1140

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