본문 바로가기
KERD
논문KCI 등재

On the zeros of generalized derivative of a polynomial

Mohammad Ibrahim Mir|Irfan Ahmad Wani|Ishfaq Nazir
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2023.03|한국수학논문집 (Korean Journal of Mathematics)|제31권 제1호|pp. 49-54

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

DerivativeZerosPolynomialsConvex setCritical points.
주제분류수학

초록

In this paper, we obtain some results concerning the location of zeros of generalized derivatives of polynomials which are analogous to those for the ordinary derivative of polynomials.

Abstract

In this paper, we obtain some results concerning the location of zeros of generalized derivatives of polynomials which are analogous to those for the ordinary derivative of polynomials.

참고문헌 (7)

  1. A. Aziz, "On the critical points of a Polynomial", Aus. Math. Soc, 57, pp.173~174 (1998)
  2. J. E. Brown, "On the Ilief-Sendov Conjecture", Pacific J. Math, 135, pp.223~232 (1988)
  3. M. Ibrahim, "Wani, On zero free regions for derivatives of a polynomial", Krajugevac Journal of Mathematics, 47(3), pp.403~407 (2023)
  4. J. L. W. Jensen, "Recherches sur la th´eorie des ´equations", Acta Math, 36, pp.181~185 (1913)
  5. Q. I Rahman, "Analytic Theory of Polynomials" (2002), Oxford University Press
  6. N. A Rather, "On the zeros of a class of generalized derivatives", Rendiconti del Circolo Matematico di Palermo Series, 2(70), pp.1201~1211 (2021)
  7. Sz-Nagy, "Verallgemeinerung der Derivierten in der Geometrie der Polynome", Acta Scientiarum Hungaricae, 13, pp.1201~1211 (1950)

관련 논문AI추천

Some Inequalities for Derivatives of PolynomialsGulshan Singh, Wali Mohammad Shah경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제4호Generalization of Some Inequalities to the Class of Generalized DerivativeIrfan Ahmad Wani, Ishfaq Nazir, Mohammad Ibrahim Mir한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제4호Inequalities for a Polynomial and its DerivativeMohammad Syed Pukhta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Inequalities concerning polynomial and its derivativeB. A. Zargar, M. H. Gulzar, Tawheeda Akhter강원경기수학회 · 한국수학논문집2021 · 제29권 제3호Inequalities for a polynomial whose zeros are within or outside a given diskLubna Wali Shah, Mohd Yousf Mir, Wali Mohammad Shah강원경기수학회 · 한국수학논문집2022 · 제30권 제2호On Zeros of Polynomials with Restricted CoefficientsAb Liman, Irshad Ahmad, Tawheeda Rasool경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제4호

이 간행물의 다른 논문 (12건)

Certain topological methods for computing digital topological complexityMelih Is, Ismet Karacapp. 1-16On the adapted equations in various dyploid model and Hardy-Weinburg equilibrium in a triploid model최원pp. 17-23Some results for the class of analytic functions concerned with symmetric pointsAyse Nur Arabaci, Bulent Nafi Ornekpp. 25-33Iterative process for finding fixed points of quasi-nonexpansive multimaps in CAT(0) spacesPitchaya Kingkam, Jamnian Nantadilokpp. 35-48A generalization of an inequality concerning the Smirnov operatorBhat Ishrat Ul Fatima, W. M. Shahpp. 55-61
원문 보기