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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.14756 |
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| _version_ | 1866912171189862400 |
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| author | Fechner, Włodzimierz Pierzchałka, Marta Smejda, Gabriela |
| author_facet | Fechner, Włodzimierz Pierzchałka, Marta Smejda, Gabriela |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14756 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a generalized conjecture by Alzer and Matkowski Fechner, Włodzimierz Pierzchałka, Marta Smejda, Gabriela Classical Analysis and ODEs 39B22, 39B32 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. |
| title | On a generalized conjecture by Alzer and Matkowski |
| topic | Classical Analysis and ODEs 39B22, 39B32 |
| url | https://arxiv.org/abs/2412.14756 |