Reciprocal derivatives of the 2nd type and rational functions
New properties of reciprocal derivatives of the 2nd type are studied. Itis proved that the reciprocal derivative of the 2nd type of the (2n)–thorder of the polynomials p n (z) is equal to zero, and that the reciprocalderivative of the 2nd type of the (2n−1)–th order of the rational functionp m (z)/q...
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| Datum: | 2015 |
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| Ключові слова: | keywords |
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| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Інститут математики НАН України
2015
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| Online Zugang: | https://trim.imath.kiev.ua/index.php/trim/article/view/27 |
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| Назва журналу: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Transactions of Institute of Mathematics of NAS of Ukraine| Zusammenfassung: | New properties of reciprocal derivatives of the 2nd type are studied. Itis proved that the reciprocal derivative of the 2nd type of the (2n)–thorder of the polynomials p n (z) is equal to zero, and that the reciprocalderivative of the 2nd type of the (2n−1)–th order of the rational functionp m (z)/q n (z),m < n, is equal to zero as well. |
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