تقرير
Monotonicity of Zeros of Jacobi-Angelesco polynomials
العنوان: | Monotonicity of Zeros of Jacobi-Angelesco polynomials |
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المؤلفون: | Santos, Eliel J. C. dos |
سنة النشر: | 2016 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, 33C45, 26C10 |
الوصف: | 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. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/1603.03762 |
رقم الأكسشن: | edsarx.1603.03762 |
قاعدة البيانات: | arXiv |
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