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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Radoš Bakić (2013)
Publications de l'Institut Mathématique
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K. Dewan, Sunil Hans (2009)
Annales UMCS, Mathematica
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If P(z) is a polynomial of degree n, having all its zeros in the disk [...] then it was shown by Govil [Proc. Amer. Math. Soc. 41, no. 2 (1973), 543-546] that [...] In this paper, we obtain generalization as well as improvement of above inequality for the polynomial of the type [...] Also we generalize a result due to Dewan and Mir [Southeast Asian Bull. Math. 31 (2007), 691-695] in this direction.
Hugh L. Montgomery (1975-1976)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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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.
Roberto Dvornicich, Shih Ping Tung, Umberto Zannier (2003)
Acta Arithmetica
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Gutman, Ivan (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Prešić, Slaviša B. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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J. L. Díaz-Barrero, J. J. Egozcue (2008)
Czechoslovak Mathematical Journal
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Given a set of points in the complex plane, an incomplete polynomial is defined as the one which has these points as zeros except one of them. The classical result known as Gauss-Lucas theorem on the location of zeros of polynomials and their derivatives is extended to convex linear combinations of incomplete polynomials. An integral representation of convex linear combinations of incomplete polynomials is also given.
Milovanović, G.V., Rančić, L.Z. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Borwein, Peter, Mossinghoff, Michael J. (2000)
Experimental Mathematics
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Agrawal, Hukum Chand (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Seoung Cheon Ryoo (2016)
Open Mathematics
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In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.
Lubinsky, D.S. (1997)
Journal of Inequalities and Applications [electronic only]
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