On a generalized conjecture by Alzer and Matkowski

Published 19 Dec 2024 in math.CA | (2412.14756v2)

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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