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- W2322157417 abstract "In this paper we use the two-variable Hermite polynomials and their operational rules to derive integral representations of Chebyshev polynomials. The concepts and the formalism of the Hermite polynomials Hn(x;y) are a powerful tool to obtain most of the properties of the Chebyshev polynomials. By using these results, we also show how it is possible to introduce relevant generalizations of these classes of polynomials and we derive for them new identities and integral representations. In particular we state new generating functions for the first and second kind Chebyshev polynomials. 2000 AMS Classification: 33C45, 33D45." @default.
- W2322157417 created "2016-06-24" @default.
- W2322157417 creator A5080017749 @default.
- W2322157417 date "2015-01-01" @default.
- W2322157417 modified "2023-09-25" @default.
- W2322157417 title "Integral representations and new generating functions of Chebyshev polynomials" @default.
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- W2322157417 doi "https://doi.org/10.15672/hjms.20154610029" @default.
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