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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2510.20710 |
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| _version_ | 1866911228459220992 |
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| author | Altınkaya, Şahsene Yalçın, Sibel |
| author_facet | Altınkaya, Şahsene Yalçın, Sibel |
| contents | For the error functions of the form \begin{equation*} E_{r}\mathfrak{f}(z)=\frac{\sqrt{πz}}{2}er\ \mathfrak{f}(\sqrt{z})=z+Σ_{n=2}^{\infty} \frac{(-1)^{n-1}}{(2n-1)(n-1)!}z^{n}, \end{equation*}% let $\mathcal{E}S_{\mathcal{H}}(k,λ,γ)\,$\ represent the class of harmonic error functions $\mathcal{ERF}=\mathcal{ERH}+\overline{\mathcal{% ERG}}$ in the open unit disk $\mathbb{U}=\left\{ z\in \mathbb{C}:\ \ \left\vert z\right\vert <1\right\} $. The paper attempts to present some basic properties for functions in this class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20710 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the inclusion properties for harmonic error functions Altınkaya, Şahsene Yalçın, Sibel Complex Variables 30C45 For the error functions of the form \begin{equation*} E_{r}\mathfrak{f}(z)=\frac{\sqrt{πz}}{2}er\ \mathfrak{f}(\sqrt{z})=z+Σ_{n=2}^{\infty} \frac{(-1)^{n-1}}{(2n-1)(n-1)!}z^{n}, \end{equation*}% let $\mathcal{E}S_{\mathcal{H}}(k,λ,γ)\,$\ represent the class of harmonic error functions $\mathcal{ERF}=\mathcal{ERH}+\overline{\mathcal{% ERG}}$ in the open unit disk $\mathbb{U}=\left\{ z\in \mathbb{C}:\ \ \left\vert z\right\vert <1\right\} $. The paper attempts to present some basic properties for functions in this class. |
| title | On the inclusion properties for harmonic error functions |
| topic | Complex Variables 30C45 |
| url | https://arxiv.org/abs/2510.20710 |