Irreducible Locally Nilpotent Finitary Skew Linear Groups

M. A. Bokhari; M. Iqbal

doi:10.1017/S0013091500006222

Irreducible Locally Nilpotent Finitary Skew Linear Groups

M. A. Bokhari, M. Iqbal

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We consider rational functions of the form f_m(z) = z^m/(z — ρ) which are analytic in| z|<ρ, ρ< 1, and establish that the asymptotic distribution of the zeros of their Taylor sections and Lagrange interpolants at uniformly distributed nodes is similar. This notion is also illustrated computationally. We conjecture that a similar result can be expected for any function analytic in |z| < ρ.

Original language	English
Pages (from-to)	99-106
Number of pages	8
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	38
Issue number	1
DOIs	https://doi.org/10.1017/S0013091500006222
State	Published - Feb 1995

ASJC Scopus subject areas

General Mathematics

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title = "Irreducible Locally Nilpotent Finitary Skew Linear Groups",

abstract = "We consider rational functions of the form fm(z) = zm/(z — ρ) which are analytic in| z|<ρ, ρ< 1, and establish that the asymptotic distribution of the zeros of their Taylor sections and Lagrange interpolants at uniformly distributed nodes is similar. This notion is also illustrated computationally. We conjecture that a similar result can be expected for any function analytic in |z| < ρ.",

author = "Bokhari, \{M. A.\} and M. Iqbal",

year = "1995",

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T1 - Irreducible Locally Nilpotent Finitary Skew Linear Groups

AU - Bokhari, M. A.

AU - Iqbal, M.

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Y1 - 1995/2

N2 - We consider rational functions of the form fm(z) = zm/(z — ρ) which are analytic in| z|<ρ, ρ< 1, and establish that the asymptotic distribution of the zeros of their Taylor sections and Lagrange interpolants at uniformly distributed nodes is similar. This notion is also illustrated computationally. We conjecture that a similar result can be expected for any function analytic in |z| < ρ.

AB - We consider rational functions of the form fm(z) = zm/(z — ρ) which are analytic in| z|<ρ, ρ< 1, and establish that the asymptotic distribution of the zeros of their Taylor sections and Lagrange interpolants at uniformly distributed nodes is similar. This notion is also illustrated computationally. We conjecture that a similar result can be expected for any function analytic in |z| < ρ.

UR - https://www.scopus.com/pages/publications/84973932488

U2 - 10.1017/S0013091500006222

DO - 10.1017/S0013091500006222

M3 - Article

AN - SCOPUS:84973932488

SN - 0013-0915

VL - 38

SP - 99

EP - 106

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

IS - 1

ER -

Irreducible Locally Nilpotent Finitary Skew Linear Groups

Abstract

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