Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas

نویسندگان

چکیده

Abstract The principal aim of the current article is to establish new formulas Chebyshev polynomials sixth-kind. Two different approaches are followed derive connection between these and some other orthogonal polynomials. coefficients expressed in terms terminating hypergeometric functions certain arguments; however, they can be reduced cases. New moment sixth-kind also established, virtue such formulas, linearization developed.

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ژورنال

عنوان ژورنال: Advances in Difference Equations

سال: 2021

ISSN: ['1687-1839', '1687-1847']

DOI: https://doi.org/10.1186/s13662-021-03244-9