Generalizations of Some Inequalities of the Polar Derivatives of Polynomials
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916856750669824 |
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| author | Kumar, Deepak Tripathi, Dinesh Hans, Sunil |
| author_facet | Kumar, Deepak Tripathi, Dinesh Hans, Sunil |
| contents | The main purpose of this paper is to present the generalization of the inequalities between the modulus of the polar derivative and the polynomial itself, depending on consideration of the zeros inside and outside of a closed disk and the extremal coefficient position of the underlying polynomial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04176 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalizations of Some Inequalities of the Polar Derivatives of Polynomials Kumar, Deepak Tripathi, Dinesh Hans, Sunil Complex Variables 30C10, 30A10, 30C15 The main purpose of this paper is to present the generalization of the inequalities between the modulus of the polar derivative and the polynomial itself, depending on consideration of the zeros inside and outside of a closed disk and the extremal coefficient position of the underlying polynomial. |
| title | Generalizations of Some Inequalities of the Polar Derivatives of Polynomials |
| topic | Complex Variables 30C10, 30A10, 30C15 |
| url | https://arxiv.org/abs/2412.04176 |