On pseudo polar-derivatives of abstract polynomials
β Scribed by Neyamat Zaheer
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 657 KB
- Volume
- 139
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The higher order link polynomials are a class of link invariants related to both Homfly polynomial and Vassiliev invariants. Here we study their partial derivatives. We prove that each partial derivative of an nth order Homfly polynomial is an (n + 1)th order Homfly polynomial. In particular, each d
Let p n z be a polynomial of degree n and D Ξ± p n z its polar derivative. It has been proved that if p n z has no zeros in z < 1, then for Ξ΄ β₯ 1 and Ξ± β₯ 1, 2Ο 0 D Ξ± p n e iΞΈ Ξ΄ dΞΈ 1/Ξ΄ β€ n Ξ± + 1 F Ξ΄ 2Ο 0 p n e iΞΈ Ξ΄ dΞΈ 1/Ξ΄ where F Ξ΄ = 2Ο/ 2Ο 0 1 + e iΞΈ Ξ΄ dΞΈ 1/Ξ΄ . We also obtain analogous inequalities