Schur-type inequalities for complex polynomials with no zeros in the unit disk.
Révész, Szilárd Gy. (2007)
Journal of Inequalities and Applications [electronic only]
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Révész, Szilárd Gy. (2007)
Journal of Inequalities and Applications [electronic only]
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Gavrea, Ioan (2008)
General Mathematics
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Shukla, D.P. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Govil, N.K., Mohapatra, R.N. (1999)
Journal of Inequalities and Applications [electronic only]
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Alves, Claudia R.R., Dimitrov, Dimitar K. (1999)
Journal of Inequalities and Applications [electronic only]
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Kim, T., Bayad, A., Kim, Y.-H. (2011)
Journal of Inequalities and Applications [electronic only]
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Krebsz, A. (2004)
Mathematica Pannonica
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Milovanović, G.V., Rančić, L.Z. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Rababah, A., Alqudah, M. (2005)
Journal of Applied Mathematics
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Hans Weber (2007)
Open Mathematics
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Starting from the Rodrigues representation of polynomial solutions of the general hypergeometric-type differential equation complementary polynomials are constructed using a natural method. Among the key results is a generating function in closed form leading to short and transparent derivations of recursion relations and addition theorem. The complementary polynomials satisfy a hypergeometric-type differential equation themselves, have a three-term recursion among others and obey Rodrigues...
Muhammed Ali Alan (2010)
Annales Polonici Mathematici
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Weighted pluripotential theory is a rapidly developing area; and Callaghan [Ann. Polon. Math. 90 (2007)] recently introduced θ-incomplete polynomials in ℂ for n>1. In this paper we combine these two theories by defining weighted θ-incomplete pluripotential theory. We define weighted θ-incomplete extremal functions and obtain a Siciak-Zahariuta type equality in terms of θ-incomplete polynomials. Finally we prove that the extremal functions can be recovered using orthonormal polynomials...
Inoue, Tetsuo (1996)
International Journal of Mathematics and Mathematical Sciences
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Hans Weber (2007)
Open Mathematics
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A connection between Romanovski polynomials and those polynomials that solve the one-dimensional Schrödinger equation with the trigonometric Rosen-Morse and hyperbolic Scarf potential is established. The map is constructed by reworking the Rodrigues formula in an elementary and natural way. The generating function is summed in closed form from which recursion relations and addition theorems follow. Relations to some classical polynomials are also given.
Ruedemann, Richard W. (1994)
International Journal of Mathematics and Mathematical Sciences
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Białas-Cież, L. (1999)
Journal of Inequalities and Applications [electronic only]
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