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

Abstract

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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Cited by in corpus (2)

• Jacob's ladders, Bessel's functions and the asymptotic solutions of a new class of nonlinear integral equations
• Jacob's ladders and some nonlinear integral equations connected with the Poisson-Lobachevsky integral