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Number of zeros of a certain class of polynomials in a specific region

Number of zeros of a certain class of polynomials in a specific region Journal of Classical Analysis Volume 18, Number 1 (2021), 29–37 doi:10.7153/jca-2021-18-03 NUMBER OF ZEROS OF A CERTAIN CLASS OF POLYNOMIALS IN A SPECIFIC REGION N. A. RATHER,AIJAZ BHAT AND LIYAQAT ALI Abstract. We obtain results giving bounds concerning the number of zeros of polynomials with restricted coefficients in a specific region. Our results generalize and improve several well-known results concerning the number of zeros of polynomials in certain regions. Mathematics subject classification (2020): 30C15, 30C10, 30E10. Keywords and phrases: Polynomials, zeros, complex domain. RE FER ENC ES [1] K. K. DEWAN, Extremal properties and coefficient estimates for polynomials with restricted zeros and on the location of zeros of polynomials, Ph. D. Thesis, Indian Institute of Technology, Delhi, 1980. [2] N.K.GOVIL AND Q. I. RAHMAN, On the Enestrom-Kak ¨ eya theorem II, Tohoku Math. J. 20 (1968) 126–136. [3] Q. G. MOHAMMAD, On the zeros of the polynomials, Amer. Math. Monthly 72 (1965) 631–633. [4] NISAR A. RATHER, On some generalizations of Enestrom-Kak ¨ eya theorem, J. Class. Anal. 14 (2019) 97–104. [5] M. S. PUKHTA, On the zeros of a polynomial, Appl. Math. 2 (2011) 1356–1358. [6] Q. I. RAHMAN,G. SCHMEISSER, Analytic Theory of Polynomials, Oxford University Press, (2002) 251–259. [7] N. A. RATHER,ISHFAQ DAR AND A. IQBAL, Generalization of Enestrom-Kak ¨ eya theorem and its extension to analytic functions, J. Class. Anal. 16 (2020) 37–44. [8] E. C. TITCHMARSH, The Theory of Functions, 2nd Edition, Oxford University Press, London, (1939) Journal of Classical Analysis ,Zagreb www.ele-math.com Paper JCA-18-03 jca@ele-math.com http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Classical Analysis Unpaywall

Number of zeros of a certain class of polynomials in a specific region

Journal of Classical AnalysisJan 1, 2021

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Unpaywall
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1848-5987
DOI
10.7153/jca-2021-18-03
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Abstract

Journal of Classical Analysis Volume 18, Number 1 (2021), 29–37 doi:10.7153/jca-2021-18-03 NUMBER OF ZEROS OF A CERTAIN CLASS OF POLYNOMIALS IN A SPECIFIC REGION N. A. RATHER,AIJAZ BHAT AND LIYAQAT ALI Abstract. We obtain results giving bounds concerning the number of zeros of polynomials with restricted coefficients in a specific region. Our results generalize and improve several well-known results concerning the number of zeros of polynomials in certain regions. Mathematics subject classification (2020): 30C15, 30C10, 30E10. Keywords and phrases: Polynomials, zeros, complex domain. RE FER ENC ES [1] K. K. DEWAN, Extremal properties and coefficient estimates for polynomials with restricted zeros and on the location of zeros of polynomials, Ph. D. Thesis, Indian Institute of Technology, Delhi, 1980. [2] N.K.GOVIL AND Q. I. RAHMAN, On the Enestrom-Kak ¨ eya theorem II, Tohoku Math. J. 20 (1968) 126–136. [3] Q. G. MOHAMMAD, On the zeros of the polynomials, Amer. Math. Monthly 72 (1965) 631–633. [4] NISAR A. RATHER, On some generalizations of Enestrom-Kak ¨ eya theorem, J. Class. Anal. 14 (2019) 97–104. [5] M. S. PUKHTA, On the zeros of a polynomial, Appl. Math. 2 (2011) 1356–1358. [6] Q. I. RAHMAN,G. SCHMEISSER, Analytic Theory of Polynomials, Oxford University Press, (2002) 251–259. [7] N. A. RATHER,ISHFAQ DAR AND A. IQBAL, Generalization of Enestrom-Kak ¨ eya theorem and its extension to analytic functions, J. Class. Anal. 16 (2020) 37–44. [8] E. C. TITCHMARSH, The Theory of Functions, 2nd Edition, Oxford University Press, London, (1939) Journal of Classical Analysis ,Zagreb www.ele-math.com Paper JCA-18-03 jca@ele-math.com

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Journal of Classical AnalysisUnpaywall

Published: Jan 1, 2021

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