دورية أكاديمية

On a class of q-orthogonal polynomials and the q-Riemann–Hilbert problem.

التفاصيل البيبلوغرافية
العنوان: On a class of q-orthogonal polynomials and the q-Riemann–Hilbert problem.
المؤلفون: Joshi, Nalini, Lasic Latimer, Tomas
المصدر: Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences; 10/27/2021, Vol. 477 Issue 2254, p1-15, 15p
مصطلحات موضوعية: POLYNOMIALS, ORTHOGONAL polynomials, RIEMANN-Hilbert problems, INFINITY (Mathematics)
مستخلص: We give an explicit solution of a q-Riemann–Hilbert problem that arises in the theory of orthogonal polynomials, prove that it is unique and deduce several properties. In particular, we describe the asymptotic behaviour of zeros in the limit as the degree of the polynomial approaches infinity. [ABSTRACT FROM AUTHOR]
Copyright of Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences is the property of Royal Society and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
قاعدة البيانات: Complementary Index
الوصف
تدمد:13645021
DOI:10.1098/rspa.2021.0452