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,...

References in corpus (2)

• Jacob's ladders and the multiplicative asymptotic formula for short and microscopic parts of the Hardy-Littlewood integral
• Jacob's ladders and the quantization of the Hardy-Littlewood integral

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