Treffer: Advanced Determinant Calculus: Advanced determinant calculus

Title:
Advanced Determinant Calculus: Advanced determinant calculus
Authors:
Christian Krattenthaler
Source:
The Andrews Festschrift ISBN: 9783540414919
Publication Status:
Preprint
Publisher Information:
Springer Berlin Heidelberg, 2001.
Publication Year:
2001
Subject Terms:
Other basic hypergeometric functions and integrals in several variables, determinant evaluation, Exact enumeration problems, generating functions, FOS: Physical sciences, Determinants, permanents, traces, other special matrix functions, 0102 computer and information sciences, enumerative combinatorics, 01 natural sciences, Stirling numbers, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Combinatorics, sequences of numbers, Number Theory (math.NT), 0101 mathematics, orthogonal polynomials, Mathematical Physics, Combinatorial identities, bijective combinatorics, Combinatorial aspects of partitions of integers, Mathematics - Number Theory, Bell and Stirling numbers, continued fractions, Pfaffian, Mathematics - Rings and Algebras, Mathematical Physics (math-ph), Matrices, determinants in number theory, Combinatorial aspects of groups and algebras, Wronskian, Appell, Horn and Lauricella functions, Mathematics - Classical Analysis and ODEs, Rings and Algebras (math.RA), Partitions of sets, \(q\)-calculus and related topics, Combinatorial aspects of representation theory, 05A19 05A10 05A15 05A17 05A18 05A30 05E10 05E15 11B68 11B73 11C20 15A15 33C45 33D45, Combinatorics (math.CO), Bernoulli and Euler numbers and polynomials, Factorials, binomial coefficients, combinatorial functions, Bernoulli numbers
Document Type:
Buch Part of book or chapter of book<br />Article<br />Other literature type
File Description:
application/xml
Language:
English
DOI:
10.1007/978-3-642-56513-7_17
DOI:
10.48550/arxiv.math/9902004
Access URL:
http://arxiv.org/abs/math/9902004
https://zbmath.org/1301085
https://link.springer.com/chapter/10.1007/978-3-642-56513-7_17
https://eudml.org/doc/119961
https://link.springer.com/10.1007/978-3-642-56513-7_17
http://www.mat.univie.ac.at/~slc/wpapers/s42kratt.pdf
https://www.mat.univie.ac.at/~slc/wpapers/s42kratt.pdf
http://inis.jinr.ru/sl/m_mathematics/ma_algebra/mal_linear algebra/krattenthaler c. (math.co_9902004) calculating some determinants(67s).pdf
Rights:
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....ca02a1b55bd4bdec0c2d3d47c685912b
Database:
OpenAIRE

Weitere Informationen

The purpose of this article is threefold. First, it provides the reader with a few useful and efficient tools which should enable her/him to evaluate nontrivial determinants for the case such a determinant should appear in her/his research. Second, it lists a number of such determinants that have been already evaluated, together with explanations which tell in which contexts they have appeared. Third, it points out references where further such determinant evaluations can be found.
67 pages, AmS-LaTeX; Final journal version. Some further, minor modifications