On growth of polynomials.
Govil, N.K. (2002)
Journal of Inequalities and Applications [electronic only]
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Govil, N.K. (2002)
Journal of Inequalities and Applications [electronic only]
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Dewan, K.K., Govil, N.K., Mir, Abdullah, Pukhta, M.S. (2006)
Journal of Inequalities and Applications [electronic only]
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Dewan, K.K., Mir, Abdullah (2005)
International Journal of Mathematics and Mathematical Sciences
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Prešić, Slaviša B. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Govil, N.K. (1991)
International Journal of Mathematics and Mathematical Sciences
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K. Dewan, Sunil Hans (2008)
Annales UMCS, Mathematica
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If p(z) be a polynomial of degree n, which does not vanish in |z| < k, k < 1, then it was conjectured by Aziz [Bull. Austral. Math. Soc. 35 (1987), 245-256] that [...] In this paper, we consider the case k < r < 1 and present a generalization as well as improvement of the above inequality.
Brindza, Béla (2001)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Arty Ahuja, K. Dewan, Sunil Hans (2011)
Annales UMCS, Mathematica
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In this paper we obtain certain results for the polar derivative of a polynomial [...] , having all its zeros on [...] which generalizes the results due to Dewan and Mir, Dewan and Hans. We also obtain certain new inequalities concerning the maximum modulus of a polynomial with restricted zeros.
Gutman, Ivan (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Radoš Bakić (2013)
Publications de l'Institut Mathématique
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James McKee, Chris Smyth (2013)
Open Mathematics
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We give a complete classification of all pairs of cyclotomic polynomials whose zeros interlace on the unit circle, making explicit a result essentially contained in work of Beukers and Heckman. We show that each such pair corresponds to a single polynomial from a certain special class of integer polynomials, the 2-reciprocal discbionic polynomials. We also show that each such pair also corresponds (in four different ways) to a single Pisot polynomial from a certain restricted class,...
Tim N. T. Goodman, Charles A. Micchelli (2002)
RACSAM
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We give conditions such that the least degree solution of a Bézout identity is nonnegative on the interval [-1,1].
Türkân Başgöze (1970)
Compositio Mathematica
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Dewan, K.K., Mir, Abdullah, Yadav, R.S. (2001)
International Journal of Mathematics and Mathematical Sciences
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