Some results on biorthogonal polynomials.
Ruedemann, Richard W. (1994)
International Journal of Mathematics and Mathematical Sciences
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Ruedemann, Richard W. (1994)
International Journal of Mathematics and Mathematical Sciences
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Olesov, A.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Milovanović, G.V., Rančić, L.Z. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Lubinsky, D.S. (1997)
Journal of Inequalities and Applications [electronic only]
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El-Sayed Ahmed, A. (2003)
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.
Agrawal, Hukum Chand (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Arnold Adelberg, Michael Filaseta (2002)
Colloquium Mathematicae
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This paper deals with the irreducibility of the mth order Bernoulli polynomials of degree m. As m tends to infinity, Eisenstein's criterion is shown to imply irreducibility for asymptotically > 1/5 of these polynomials.
Graziano Gentili, Daniele C. Struppa (1987)
Kybernetika
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Rhin, G., Sac-Épée, J.-M. (2003)
Experimental Mathematics
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L. Hajdu, R. Tijdeman (2003)
Acta Arithmetica
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Artur Korniłowicz (2017)
Formalized Mathematics
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In this article, we formalize in the Mizar system [3] the notion of the derivative of polynomials over the field of real numbers [4]. To define it, we use the derivative of functions between reals and reals [9].
Stephan Ruscheweyh, Magdalena Wołoszkiewicz (2011)
Annales UMCS, Mathematica
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Let || · || be the uniform norm in the unit disk. We study the quantities Mn (α) := inf (||zP(z) + α|| - α) where the infimum is taken over all polynomials P of degree n - 1 with ||P(z)|| = 1 and α > 0. In a recent paper by Fournier, Letac and Ruscheweyh (Math. Nachrichten 283 (2010), 193-199) it was shown that infα>0Mn (α) = 1/n. We find the exact values of Mn (α) and determine corresponding extremal polynomials. The method applied uses known cases of maximal ranges of polynomials. ...
Hugh L. Montgomery (1975-1976)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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