کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4625851 1631774 2016 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On polynomials associated with an Uvarov modification of a quartic potential Freud-like weight
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On polynomials associated with an Uvarov modification of a quartic potential Freud-like weight
چکیده انگلیسی

In this contribution we consider sequences of monic polynomials orthogonal with respect to the standard Freud-like inner product involving a quartic potential 〈p,q〉=∫Rp(x)q(x)e−x4+2tx2dx+Mp(0)q(0).〈p,q〉=∫Rp(x)q(x)e−x4+2tx2dx+Mp(0)q(0).We analyze some properties of these polynomials, such as the ladder operators and the holonomic equation that they satisfy and, as an application, we give an electrostatic interpretation of their zero distribution in terms of a logarithmic potential interaction under the action of an external field. It is also shown that the coefficients of their three term recurrence relation satisfy a nonlinear difference string equation. Finally, an equation of motion for their zeros in terms of their dependence on t is given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 281, 30 April 2016, Pages 102–120
نویسندگان
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