A Kannappan-cosine functional equation on semigroups

2023/05/01 by Ahmed Jafar, Jafar, Ahmed, Omar Ajebbar +3
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #General Mathematics (math.GM) #Meromorphic and Entire Functions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2305.02924

openalex publication_date 2023/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the complex-valued solutions of the Kannappan cosine functional law g(xyz₀)=g(x)g(y)-f(x)f(y), x,y∈ S, where S is a semigroup and z₀ is a fixed element in S.

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