Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Monotonicity of zeros of Jacobi-Angelesco polynomials


Author: Eliel J. C. dos Santos
Journal: Proc. Amer. Math. Soc. 145 (2017), 4741-4750
MSC (2010): Primary 33C45, 26C10
DOI: https://doi.org/10.1090/proc/13319
Published electronically: August 1, 2017
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We study the monotonic behaviour of the zeros of the multiple Jacobi-Angelesco orthogonal polynomials, in the diagonal case, with respect to the parameters $ \alpha ,\beta $ and $ \gamma $. We prove that the zeros are monotonic functions of $ \alpha $ and $ \gamma $ and consider some special cases of how the zeros depend on $ \beta $, especially in the presence of symmetry. As a consequence we obtain results about monotonicity of zeros of Jacobi-Laguerre and Laguerre-Hermite multiple orthogonal polynomials too.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 33C45, 26C10

Retrieve articles in all journals with MSC (2010): 33C45, 26C10


Additional Information

Eliel J. C. dos Santos
Affiliation: IMECC, Universidade Estadual de Campinas, Campinas-SP, 13083-859 Brazil
Email: elielubarana@gmail.com

DOI: https://doi.org/10.1090/proc/13319
Keywords: Jacobi-Angelesco polynomials, zeros, monotonicity
Received by editor(s): March 11, 2016
Received by editor(s) in revised form: May 13, 2016
Published electronically: August 1, 2017
Additional Notes: The author’s research was supported by the Brazilian Science Foundation CAPES
Communicated by: Mourad E. H. Ismail
Article copyright: © Copyright 2017 American Mathematical Society

American Mathematical Society