Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article A Cohen Type Inequality for Fourier Expansions of Orthogonal Polynomials with a Nondiscrete Jacobi-Sobolev Inner Product
Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID 294134, 19 pages doi:10.1155/2011/294134
Research Article Jacobi-Sobolev Orthogonal Polynomials: Asymptotics for N-Coherence of Measures
Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID 372874, 25 pages doi:10.1155/2011/372874
Research Article Some Properties of Orthogonal Polynomials for Laguerre-Type Weights
HeeSun Jung1 and Ryozi Sakai2
Department of Mathematics Education, Sungkyunkwan University, Seoul 110-745, Republic of Korea Department of Mathematics, Meijo University, Nagoya 468-8502, Japan
Correspondence should be addressed to HeeSun Jung, email@example.com Received 3 November 2010; Accepted 21 February 2011 Academic Editor: P. Y. H. Pang Copyright q 2011 H.
(BQ) Part 2 book "Advanced calculus with applications in statistics" has contents: Optimization in statistics, approximation of functions, orthogonal polynomials, fourier series, approximation of integrals.
We study unitary random matrix ensembles of the form
−1 Zn,N | det M |2α e−N Tr V (M ) dM,
where α −1/2 and V is such that the limiting mean eigenvalue density for n, N → ∞ and n/N → 1 vanishes quadratically at the origin. In order to compute the double scaling limits of the eigenvalue correlation kernel near the origin, we use the Deift/Zhou steepest descent method applied to the Riemann-Hilbert problem for orthogonal polynomials on the real line with respect to the weight |x|2α e−N V (x) . ...
The concepts of noncommutative space-time and quantum groups have found
growing attention in quantum field theory and string theory. The mathematical
concepts of quantum groups have been far developed by mathematicians and
physicists of the Eastern European countries. Especially, V. G. Drinfeld from
Ukraine, S. Woronowicz from Poland and L. D. Faddeev from Russia have been
pioneering the field. It seems to be natural to bring together these scientists with
researchers in string theory and quantum field theory of the Western European
(BQ) Part 1 book "Fundamental numerical methods and data analys" has contents: A note added for the internet edition, a further note for the internet edition, introduction and fundamental concepts, the numerical methods for linear equations and matrices, polynomial approximation, interpolation, and orthogonal polynomials.