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About the Project
Chapter 26
Combinatorial Analysis
D. M. Bressoud
Macalester College, Saint Paul, Minnesota.
ⓘ
Notes:
Comprehensive references include
Graham
et al.
(
1995
)
and
Rosen
et al.
(
2000
)
. Most of this chapter is treated in detail in
Comtet (
1974
)
,
Riordan (
1958
)
, and
Stanley (
1997
,
1999
)
.
Referenced by:
Profile
David M. Bressoud
,
Profile
Ira Gessel
,
§
‣
Chapter Authors
,
§
‣
Associate Editors
,
§
‣
Software Cross Index
Permalink:
http://dlmf.nist.gov/26
Notation
26.1
Special Notation
Properties
26.2
Basic Definitions
26.3
Lattice Paths: Binomial Coefficients
26.4
Lattice Paths: Multinomial Coefficients and Set Partitions
26.5
Lattice Paths: Catalan Numbers
26.6
Other Lattice Path Numbers
26.7
Set Partitions: Bell Numbers
26.8
Set Partitions: Stirling Numbers
26.9
Integer Partitions: Restricted Number and Part Size
26.10
Integer Partitions: Other Restrictions
26.11
Integer Partitions: Compositions
26.12
Plane Partitions
26.13
Permutations: Cycle Notation
26.14
Permutations: Order Notation
26.15
Permutations: Matrix Notation
26.16
Multiset Permutations
26.17
The Twelvefold Way
26.18
Counting Techniques
Applications
26.19
Mathematical Applications
26.20
Physical Applications
Computation
26.21
Tables
26.22
Software