Jacob's ladders and new orthogonal systems generated by Jacobi polynomials

Mathematics – Classical Analysis and ODEs

Scientific paper

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Scientific paper

Is is shown in this paper that there is a connection between the Riemann
zeta-function $\zf$ and the classical Jacobi's polynomials, i.e. the Legendre
polynomials, Chebyshev polynomials of the first and the second kind,...

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