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• W3147458306 abstract "In a recent article, the first and second kinds of multivariate Chebyshev polynomials of fractional degree, and the relevant integral repesentations, have been studied. In this article, we introduce the first and second kinds of pseudo-Lucas functions of fractional degree, and we show possible applications of these new functions. For the first kind, we compute the fractional Newton sum rules of any orthogonal polynomial set starting from the entries of the Jacobi matrix. For the second kind, the representation formulas for the fractional powers of a r×r matrix, already introduced by using the pseudo-Chebyshev functions, are extended to the Lucas case." @default.
• W3147458306 created "2021-04-13" @default.
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• W3147458306 date "2021-04-02" @default.
• W3147458306 modified "2023-09-27" @default.
• W3147458306 title "Pseudo-Lucas Functions of Fractional Degree and Applications" @default.
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• W3147458306 doi "https://doi.org/10.3390/axioms10020051" @default.
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