Title of article
On the zeros of d-symmetric d-orthogonal polynomials
Author/Authors
N. Ben Romdhane، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
10
From page
888
To page
897
Abstract
In this paper, we give some properties of the zeros of d-symmetric d-orthogonal polynomials and we localize these zeros on
(d +1) rays emanating from the origin.We apply the obtained results to some known polynomials. In particular, we partially solve
the conjecture about the zeros of the Humbert polynomials stated by Milovanovi´c andDordevi´c [G.V. Milovanovi´c, G.B. Dordevi´c,
On some properties of Humbert’s polynomials, II, Ser. Math. Inform. 6 (1991) 23–30]. A study of the eigenvalues of a particular
banded Hessenberg matrix is done.
© 2008 Elsevier Inc. All rights reserved
Keywords
Recurrence relation , d-Orthogonal polynomials , Gould–Hopperpolynomials , d-Orthogonal Chebyshev polynomials , q-Analogies of generalized Hermite’s polynomials , Humbert polynomials , d-Symmetric polynomials , Hessenberg matrix
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
937245
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