کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606895 1631409 2016 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Nevanlinna parametrization for qq-Lommel polynomials in the indeterminate case
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The Nevanlinna parametrization for qq-Lommel polynomials in the indeterminate case
چکیده انگلیسی

The Hamburger moment problem for the qq-Lommel polynomials which are related to the Hahn–Exton qq-Bessel function is known to be indeterminate for a certain range of parameters. In this paper, the Nevanlinna parametrization for the indeterminate case is provided in an explicit form. This makes it possible to describe all N-extremal measures of orthogonality. Moreover, a linear and a quadratic recurrence relation are derived for the moment sequence, and the asymptotic behavior of the moments for large powers is obtained with the aid of appropriate estimates.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 201, January 2016, Pages 48–72
نویسندگان
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