On solutions of f(x)+f(a₁x)+...+f(a_Nx)=0 and related equations

2011/11/02 by J. M. Almira, Almira, J. M., Kh. F. Abu-Helaiel +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Nonlinear Waves and Solitons #math.CA

paper · pdf · doi:10.48550/arxiv.1111.0608

9 pages. Submitted to a Journal

openalex publication_date 2011/11/02 · arxiv created 2012/02/20 · arxiv updated 2012/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study some properties of the solutions of the functional equation f(x)+f(a₁x)+...+f(a_Nx)=0, which was introduced in the literature by Mora, Cherruault and Ziadi in 1999, for the case a_k=k+1, k=1,2,...,N and studied by Mora in 2008 and Mora and Sepulcre in 2009 and 2011.

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