On a generalized conjecture by Alzer and Matkowski

2024/12/19 by Włodzimierz Fechner, Fechner, Włodzimierz, Marta Pierzchałka +3
Mathematics · #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2412.14756

Abstract

We study a recent conjecture proposed by Horst Alzer and Janusz Matkowski concerning a bilinearity property of the Cauchy exponential difference for real-to-real functions. The original conjecture was affirmatively resolved by Tomasz Małolepszy. We deal with generalizations for real or complex mappings acting on a linear space.

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