Classical q-Numbers: A Study of the Case q = -1

Language: English

Published by LAP LAMBERT Academic Publishing Jan 2010, 2010

3838337581 / 9783838337586

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This item is printed on demand - Print on Demand Titel. Neuware -Several of the classical sequences in enumerative combinatorics have q-generalizations arising as generating functions for statistics defined on finite discrete structures. When q = 1, these generating functions reduce to the original sequences. When q = -1, on the other hand, one gets the difference in cardinalities between those members of a set having an even value for some statistic (on the set) with those members having an odd value. The current text provides a systematic study of the case q = -1, giving both algebraic and combinatorial treatments. For the latter, appropriate sign-reversing involutions are defined on the associated class of discrete structures. Among the structures studied are permutations, binary sequences, Laguerre configurations, derangements, Catalan words, and finite set partitions. As a consequence of our results, we obtain bijective proofs of congruences involving Stirling, Bell, and Catalan numbers. This text studies an interesting problem in enumerative combinatorics and is suitable for an audience ranging from motivated undergraduates to researchers in the field.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 88 pp. Englisch.…

Seller Inventory # 9783838337586

Title
Classical q-Numbers: A Study of the Case q = -1
Author
Mark Shattuck
Publisher
LAP LAMBERT Academic Publishing Jan 2010
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3838337581
ISBN 13
9783838337586
Item weight
149 grams
Dimensions
220x150x6 mm

buchversandmimpf2000

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