Zobrazeno 1 - 10 of 11 pro vyhledávání: '"Q. G. Mohammad"'
1
Zero-Free Regions for Polynomials and Some Generalizations of Eneström-Kakeya Theorem
Autor: Abdul Aziz, Q. G. Mohammad
Publikováno v: Canadian Mathematical Bulletin. 27:265-272
In this paper we shall use matrix methods to obtain several generalizations of a well known result of Eneström and Kakeya about the location of the zeros of polynomials. We shall also obtain zero-free regions of polynomials having complex coefficien
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4e228e1737f317b72d4df9360ee023c1
https://doi.org/10.4153/cmb-1984-040-3
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2
Simple proof of a theorem of Erdős and Lax
Autor: Q. G. Mohammad, Abdul Aziz
Publikováno v: Proceedings of the American Mathematical Society. 80:119-122
An elementary new and simple proof of Erdos-Lax theorem is given which in essence involves no analysis. Let P(z) be a polynomial of degree n with Maxlz I= P(z)I = 1, then Max IP'(z)I < n. (1) Inequality (1) is an immediate consequence of S. Bernstein
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9190f5e534733dd47db7d7b25eebd3e
https://doi.org/10.1090/s0002-9939-1980-0574519-4
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9
Growth of polynomials with zeros outside a circle
Autor: Abdul Aziz, Q. G. Mohammad
Publikováno v: Proceedings of the American Mathematical Society. 81:549-549
Let P(z) be a polynomial of degree n having all its zeros in Izi > k > 1. For k = 1, it is known that Max IP(z)l 2 Maxl IP(Z) IzI R>1 2 zl In this paper we consider the case k > 1 and obtain a sharp result. Let P(z) be a polynomial of degree n such t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4a0c7a12cd76b3b41213a03b627cceeb
https://doi.org/10.1090/s0002-9939-1981-0601727-7
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