کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643500 1341382 2006 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cramer–Rao information plane of orthogonal hypergeometric polynomials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Cramer–Rao information plane of orthogonal hypergeometric polynomials
چکیده انگلیسی

The classical hypergeometric polynomials {pn(x)}n=0∞, which are orthogonal with respect to a weight function ω(x)ω(x) defined on a real interval, are analyzed in the Cramer–Rao information plane, that is the plane defined by both Fisher information and variance of the probability density ρn(x)=pn(x)2ω(x)ρn(x)=pn(x)2ω(x). The Rakhmanov density ρn(x)ρn(x) of these polynomials, which describes the probability density of the quantum states for various physical prototypes in an exact manner and for numerous physical systems to a very good approximation, is discussed in detail.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 186, Issue 2, 15 February 2006, Pages 523–541
نویسندگان
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