Upper bounds for Erdélyi's multivariate Laguerre polynomials
Abstract
We establish in this paper two inequalities for the multivariate Laguerre polynomials introduced and studied by Arthur Erdélyi [Sitzungsber. Akad. Wiss. Wien, Math.-Naturw. Kl., Abt. IIa 146 (1937), 431--467]. These inequalities generalize the well-known Szegö's inequality for the Laguerre polynomials $L_n^{(α)}(x)$. We also mention briefly few insightful remarks giving a comparative analysis concerning the upper bounds of the derived inequalities in the concluding section.
Fields of Study & Subjects
Mathematical functions and polynomials
Advanced Mathematical Identities
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Journal of Mathematical Inequalities
- Publisher
- Element d.o.o.
- Issue
- 1
- Pages
- 147–154
- Publication date
- 1 January 2026
- Language
- EN