An extension of a criterion for unimodality.
Alvarez, Jenny, Amadis, Miguel, Boros, George, Karp, Dagan, Moll, Victor H., Rosales, Leobardo (2001)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Displaying similar documents to “A criterion for unimodality.”
An extension of a criterion for unimodality.
Ratio monotonicity of polynomials derived from nondecreasing sequences.
Chen, William Y.C., Yang, Arthur L.B., Zhou, Elaine L.F. (2010)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
On the modes of polynomials derived from nondecreasing sequences.
Dou, Donna Q.J., Yang, Arthur L.B. (2011)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Unimodality problems of multinomial coefficients and symmetric functions.
Su, Xun-Tuan, Wang, Yi, Yeh, Yeong-Nan (2011)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
On unimodality problems in Pascal's triangle.
Su, Xun-Tuan, Wang, Yi (2008)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Small values of polynomials: Cartan, Pólya and others.
Lubinsky, D.S. (1997)
Journal of Inequalities and Applications [electronic only]
Similarity:
Transforming recurrent sequences by using the binomial and invert operators.
Barbero, Stefano, Cerruti, Umberto, Murru, Nadir (2010)
Journal of Integer Sequences [electronic only]
Similarity:
On the derivative and maximum modulus of a polynomial.
Dewan, K.K., Govil, N.K., Mir, Abdullah, Pukhta, M.S. (2006)
Journal of Inequalities and Applications [electronic only]
Similarity:
On maximum modulus for the derivative of a polynomial
K. Dewan, Sunil Hans (2009)
Annales UMCS, Mathematica
Similarity:
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.
On the minimal distance of the zeros of a polynomial.
Prešić, Slaviša B. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
On the multivariate transfinite diameter
Thomas Bloom, Jean-Paul Calvi (1999)
Annales Polonici Mathematici
Similarity:
We prove several new results on the multivariate transfinite diameter and its connection with pluripotential theory: a formula for the transfinite diameter of a general product set, a comparison theorem and a new expression involving Robin's functions. We also study the transfinite diameter of the pre-image under certain proper polynomial mappings.
On the maximum modulus of a polynomial and its derivatives.
Dewan, K.K., Mir, Abdullah (2005)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Large integer polynomials in several variables
A. Dubickas (2004)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros
James McKee, Chris Smyth (2013)
Open Mathematics
Similarity:
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,...