On comparison of annuli containing all the zeros of a polynomial | Zendy

Aseem Dalal | Zendy; N. K. Govil | Zendy

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On comparison of annuli containing all the zeros of a polynomial

Author(s) -

Aseem Dalal,

N. K. Govil

Publication year - 2017

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm1701232d

Subject(s) - mathematics , polynomial , polynomial function theorems for zeros , annulus (botany) , class (philosophy) , degree (music) , discrete mathematics , pure mathematics , combinatorics , matrix polynomial , mathematical analysis , alternating polynomial , botany , physics , artificial intelligence , computer science , acoustics , biology

There are many theorems providing annulus containing all the zeros of a polynomial, and it is known that two such theorems cannot be compared, in the sense that one can always find a polynomial for which one theorem gives a sharper bound than the other. It is natural to ask if there is a class of polynomials for which such comparison is possible and in this paper we investigate this problem and provide results which for polynomials with some condition on the degree or absolute range of coefficients, enable us to compare two such theorems.

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