Recurrence relations for polynomial sequences via Riordan matrices

التفاصيل البيبلوغرافية
العنوان: Recurrence relations for polynomial sequences via Riordan matrices
المؤلفون: Luzon, A., Morón, M. A.
سنة النشر: 2009
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, 05A40, 11B83, 68W30, 68R05
الوصف: We give recurrence relations for any family of generalized Appell polynomials unifying so some known recurrences of many classical sequences of polynomials. Our main tool to get our goal is the Riordan group. We use the product of Riordan matrices to interpret some relationships between different families of polynomials. Moreover using the Hadamard product of series we get a general recurrence relation for the polynomial sequences associated to the so called generalized umbral calculus.
Comment: 41 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/0904.2672
رقم الأكسشن: edsarx.0904.2672
قاعدة البيانات: arXiv