an:01301085
Zbl 0923.05007
Krattenthaler, Christian
Advanced determinant calculus
EN
S??min. Lothar. Comb. 42, B42q, 67 p. (1999).
00047283
1999
j
05A19 05A10 05A15 05A18 05A30 05E15 11B68 11B73 11C20 05A17 05E10 15A15 33C65 33D70
Pfaffian; Wronskian; orthogonal polynomials; continued fractions; Stirling numbers; Bernoulli numbers; determinant evaluation; sequences of numbers; enumerative combinatorics
The paper surveys techniques and results on advanced determinant evaluation. A few useful and efficient techniques are shown, an extensive list of evaluated determinants are given, including the context in which they came up, and further references to determinant evaluations. The determinant evaluations surveyed here show connection to special sequences of numbers and polynomials, and to enumerative combinatorics.
L.A.Sz??kely (Columbia/South Carolina)