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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.14839 |
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| _version_ | 1866915120807936000 |
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| author | Roy, Soumon Saha, Sudip Sinha, Ritam |
| author_facet | Roy, Soumon Saha, Sudip Sinha, Ritam |
| contents | Let $\mathfrak{f}$ be a transcendental entire function with hyper-order less than one. The aim of this note is to study the value distribution of the differential-difference monomials $α\mathfrak{f}(z)^{q_0}(\mathfrak{f}(z+c))^{q_1}$, where $c$ is a non-zero complex number and $q_0\geq2,$ $q_1\geq 1$ are non-negative integers, and $ α(z)$ $(\not\equiv 0,\infty)$ be a small function of $\mathfrak{f}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14839 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Note on the value distribution of some differential-difference monomials generated by a transcendental entire function of hyper-order less than one Roy, Soumon Saha, Sudip Sinha, Ritam Complex Variables Let $\mathfrak{f}$ be a transcendental entire function with hyper-order less than one. The aim of this note is to study the value distribution of the differential-difference monomials $α\mathfrak{f}(z)^{q_0}(\mathfrak{f}(z+c))^{q_1}$, where $c$ is a non-zero complex number and $q_0\geq2,$ $q_1\geq 1$ are non-negative integers, and $ α(z)$ $(\not\equiv 0,\infty)$ be a small function of $\mathfrak{f}$. |
| title | A Note on the value distribution of some differential-difference monomials generated by a transcendental entire function of hyper-order less than one |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2501.14839 |