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arXiv · 2412.14756

On a generalized conjecture by Alzer and Matkowski

Włodzimierz Fechner·Marta Pierzchałka·Gabriela Smejda
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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 Ma\l{}olepszy. We deal with generalizations for real or complex mappings acting on a linear space.

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Włodzimierz Fechner, Marta Pierzchałka, Gabriela Smejda. 2024-12-19. On a generalized conjecture by Alzer and Matkowski. https://arxiv.org/abs/2412.14756

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