This article is cited in 1 paper

Real, complex and functional analysis

On one integral representation of Binet type

V. I. Kuzovatov, A. M. Kytmanov

Siberian Federal University, pr. Svobodny, 79, 660041, Krasnoyarsk, Russia

Abstract: In the present work, we obtain a generalization of the classical Binet formula. It is used to find a functional relationship for the Riemann zeta-function. We obtain the mentioned generalization by means of the Plan formula.

Keywords: Binet formula, integral representation, entire function.

UDC: 517.5

MSC: 14G10, 30D10

Received April 13, 2024, published October 21, 2024

DOI: 10.33048/semi.2024.21.050