Jacob's ladders and completely new exact synergetic formula for Jacobi's elliptic functions together with Bessel's functions excited by the function |ζ(1/2+it)|²

2019/07/30 by Jan Moser, Moser, Jan
Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #math.CA

paper · pdf · doi:10.48550/arxiv.1907.12818

arxiv created 2019/07/30 · openalex publication_date 2019/07/30 · arxiv updated 2019/07/31 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain a set of five new transmutations of the mother formula. Further, we obtain the second set of ten exact metafunctional equations by crossbreeding on every two elements of the previous set. Elements of the last set represent a kind of synergetic formulae describing cooperative interactions between corresponding sets of values of basic classical functions.

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