Solution of a polylocal problem using Tchebychev polynomials.
Drăghici, Eugen, Pop, Daniel (2008)
General Mathematics
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Drăghici, Eugen, Pop, Daniel (2008)
General Mathematics
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Yong-Gao Chen, Gabor Kun, Gabor Pete, Imre Z. Ruzsa, Adam Timar (2002)
Acta Arithmetica
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M. A. Qazi (2013)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We point out certain flaws in two papers published in Ann. Univ. Mariae Curie-Skłodowska Sect. A, one in 2009 and the other in 2011. We discuss in detail the validity of the results in the two papers in question.
Iwona Naraniecka, Jan Szynal, Anna Tatarczak (2013)
Annales UMCS, Mathematica
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The extremal functions f0(z) realizing the maxima of some functionals (e.g. max |a3|, and max arg f′(z)) within the so-called universal linearly invariant family Uα (in the sense of Pommerenke [10]) have such a form that f′0(z) looks similar to generating function for Meixner-Pollaczek (MP) polynomials [2], [8]. This fact gives motivation for the definition and study of the generalized Meixner-Pollaczek (GMP) polynomials Pλn (x; θ,ψ) of a real variable x as coefficients of [###] where...
Xu, Yuan (2004)
Experimental Mathematics
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Foulquié Moreno, Ana, Marcellán, Francisco, Osilenker, Boris P. (1999)
Journal of Inequalities and Applications [electronic only]
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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. ...
Laskri, Yamina, Benzine, Rachid (2006)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 30C40, 30D50, 30E10, 30E15, 42C05. Let α = β+γ be a positive finite measure defined on the Borel sets of C, with compact support, where β is a measure concentrated on a closed Jordan curve or on an arc (a circle or a segment) and γ is a discrete measure concentrated on an infinite number of points. In this survey paper, we present a synthesis on the asymptotic behaviour of orthogonal polynomials or Lp extremal polynomials associated...
Robbins, Neville (1991)
International Journal of Mathematics and Mathematical Sciences
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Milovanović, G.V., Rančić, L.Z. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Edward B., Varga, Richard S. Saff (1981)
Mathematische Zeitschrift
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B.D. Rakovich, P.M. Vasic (1983)
Aequationes mathematicae
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Gregorac, R.J. (2004)
International Journal of Mathematics and Mathematical Sciences
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Dress, François, Olivier, Michel (1999)
Experimental Mathematics
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Andrzej Schinzel (1995)
Banach Center Publications
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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].
Paul Pollack (2009)
Acta Arithmetica
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