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Pseudo-Lucas Functions of Fractional Degree and Applications
2021
Axioms
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,
doi:10.3390/axioms10020051
fatcat:r3jsilmwszeunj5xzpive7uhne