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On the Sturm comparison and convexity theorem for difference and q-difference equations.
Acta Sci. Math. 78, 529-540 (2012)
We give a Sturm-type comparison theorem and a convexity theorem for difference equations. We apply the convexity results to discrete orthogonal polynomials, such as the Hahn and Meixner polynomials by obtaining estimates on the second difference of their zeros. We show that the corresponding theorems for q-difference equations also hold, and present the results on the q-Laguerre polynomials.
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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
Sturm comparison theorem; Sturm convexity theorem; self-adjoint equations; orthogonal polynomials; q-difference equations; convexity of zeros
ISSN (print) / ISBN
0001-6969
Zeitschrift
Acta Scientiarum Mathematicarum
Quellenangaben
Band: 78,
Seiten: 529-540
Verlag
Bolyai Institute, University of Szeged
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Biomathematics and Biometry (IBB)