Toda and Laguerre-Freud equations for multiple discrete orthogonal polynomials with an arbitrary number of weights

التفاصيل البيبلوغرافية
العنوان: Toda and Laguerre-Freud equations for multiple discrete orthogonal polynomials with an arbitrary number of weights
المؤلفون: Fernández-Irisarri, Itsaso, Mañas, Manuel
سنة النشر: 2024
المجموعة: Mathematics
Mathematical Physics
Nonlinear Sciences
مصطلحات موضوعية: Mathematics - Classical Analysis and ODEs, Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems, 42C05, 33C45, 33C47, 35C05, 37K10
الوصف: In this paper, we extend our investigation into semiclassical multiple discrete orthogonal polynomials by considering an arbitrary number of weights. We derive multiple versions of the Toda equations and the Laguerre-Freud equations for the multiple generalized Charlier and multiple generalized Meixner II families.
Comment: 23 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.00777
رقم الأكسشن: edsarx.2407.00777
قاعدة البيانات: arXiv