On some properties of logarithmic coefficients of inverse of univalent functions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913127198621696 |
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| author | Obradović, Milutin Tuneski, Nikola Zaprawa, Paweł |
| author_facet | Obradović, Milutin Tuneski, Nikola Zaprawa, Paweł |
| contents | In this paper we consider some properties of the initial logarithmic coefficients for inverse functions of functions univalent in the unit disc. The case of convex functions is treated separately. We give estimate, in some cases sharp, of the modulus of the initial coefficients, as well as the difference of the modulus of two consecutive coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14425 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On some properties of logarithmic coefficients of inverse of univalent functions Obradović, Milutin Tuneski, Nikola Zaprawa, Paweł Complex Variables 30C45, 30C50, 30C55 In this paper we consider some properties of the initial logarithmic coefficients for inverse functions of functions univalent in the unit disc. The case of convex functions is treated separately. We give estimate, in some cases sharp, of the modulus of the initial coefficients, as well as the difference of the modulus of two consecutive coefficients. |
| title | On some properties of logarithmic coefficients of inverse of univalent functions |
| topic | Complex Variables 30C45, 30C50, 30C55 |
| url | https://arxiv.org/abs/2605.14425 |