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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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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Sturm comparison theorem; Sturm convexity theorem; self-adjoint equations; orthogonal polynomials; q-difference equations; convexity of zeros
ISSN (print) / ISBN
0001-6969
Journal
Acta Scientiarum Mathematicarum
Quellenangaben
Volume: 78,
Pages: 529-540
Publisher
Bolyai Institute, University of Szeged
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)