Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Wolfgang Gawronski"'
Publikováno v:
Proceedings of the American Mathematical Society. 144:5251-5263
Motivated by recent results in random matrix theory we will study the distributions arising from products of complex Gaussian random matrices and truncations of Haar distributed unitary matrices. We introduce an appropriately general class of measure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::702680d34f871ceefd0ba67080ed40a0
https://doi.org/10.1090/proc/13153
https://doi.org/10.1090/proc/13153
Publikováno v:
European Journal of Combinatorics. 49:218-231
For the Legendre-Stirling numbers of the second kind asymptotic formulae are derived in terms of a local central limit theorem. Thereby, supplements of the recently published asymptotic analysis of the Chebyshev-Stirling numbers are established. More
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c83fd2f38c59cde3deff80e38296a7da
https://doi.org/10.1016/j.ejc.2015.03.014
https://doi.org/10.1016/j.ejc.2015.03.014
Publikováno v:
Studies in Applied Mathematics. 133:1-17
For the classical Stirling numbers of the second kind, asymptotic formulae are derived in terms of a local central limit theorem. The underlying probabilistic approach also applies to the Chebyshev–Stirling numbers, a special case of the Jacobi–S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ccf1aecabd7739e0f58b3cff836f714
https://doi.org/10.1111/sapm.12037
https://doi.org/10.1111/sapm.12037
Autor:
Wolfgang Gawronski, Thorsten Neuschel
Publikováno v:
Integral Transforms and Special Functions. 24:817-830
These numbers are defined as the coefficients of the Euler–Frobenius polynomials which usually are introduced via the rational function expansion n being a nonnegative integer and λ∈[0, 1). The special case An, l (0) is known from combinatorics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bbf0abc9e8da06da1b78b111e187078e
https://doi.org/10.1080/10652469.2012.762362
https://doi.org/10.1080/10652469.2012.762362
Publikováno v:
Computational Methods and Function Theory. 13:163-180
The binomial polynomials are defined by the sum representation, $$\begin{aligned} Q_{n}^{(r)} (z) = \sum _{k=0}^n \genfrac(){0.0pt}{}{n}{k}^{r+1} z^k, \qquad n\in \mathbb{N },\,z\in \mathbb{C }, \end{aligned}$$ where \(r\) is a non-negative integer.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e682490892552f0be2a5763d11a4bb27
https://doi.org/10.1007/s40315-013-0013-3
https://doi.org/10.1007/s40315-013-0013-3
Publikováno v:
Journal of Combinatorial Theory, Series A. 120:288-303
The Jacobi–Stirling numbers were discovered as a result of a problem involving the spectral theory of powers of the classical second-order Jacobi differential expression. Specifically, these numbers are the coefficients of integral composite powers
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f7d31de479cc6697665d4666716c6e8
https://doi.org/10.1016/j.jcta.2012.08.006
https://doi.org/10.1016/j.jcta.2012.08.006
Publikováno v:
Discrete Mathematics. 311(14):1255-1272
The Legendre–Stirling numbers are the coefficients in the integral Lagrangian symmetric powers of the classical Legendre second-order differential expression. In many ways, these numbers mimic the classical Stirling numbers of the second kind which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::338f8e28b09072610db5e7607cd5625b
Autor:
Andrea Van Aubel, Wolfgang Gawronski
Publikováno v:
Applied Mathematics and Computation. 141:3-12
A survey of analytic properties of the noncentral @g^2"n(@l), F"n"""1","n"""2(@l), and student's t"m(@l) distributions is given. Emphasis is put on unimodality problems and in particular the modes of these distributions are discussed regarding their
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75ec24f21ade843309ea5949bef4c527
https://doi.org/10.1016/s0096-3003(02)00316-8
https://doi.org/10.1016/s0096-3003(02)00316-8
We prove complete monotonicity of sums of squares of generalized Baskakov basis functions by deriving the corresponding results for hypergeometric functions. Moreover, in the central Baskakov case we study the distribution of the complex zeros for la
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49e13057eb5770029d4bd09bc721070e
http://arxiv.org/abs/1411.7945
http://arxiv.org/abs/1411.7945
Autor:
Andrea Van Aubel, Wolfgang Gawronski
Publikováno v:
Methods and Applications of Analysis. 7:233-250
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::245a2f994c059eb975e407df0b23a1d7
https://doi.org/10.4310/maa.2000.v7.n1.a11
https://doi.org/10.4310/maa.2000.v7.n1.a11