Permutations with ascending and descending blocks.
Steinhardt, Jacob (2010)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “The combinatorics of the Al-Salam-Chihara -Charlier polynomials.”
Permutations with ascending and descending blocks.
On Hultman numbers.
Doignon, Jean-Paul, Labarre, Anthony (2007)
Journal of Integer Sequences [electronic only]
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Derangement polynomials and excedances of type .
Chen, William Y.C., Tang, Robert L., Zhao, Alina F.Y. (2009)
The Electronic Journal of Combinatorics [electronic only]
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A derivation of Kohnert's algorithm from Monk's rule.
Winkel, Rudolf (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
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A colorful involution for the generating function for signed Stirling numbers of the first kind.
Levande, Paul (2010)
The Electronic Journal of Combinatorics [electronic only]
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A combinatorial proof of a result for permutation pairs
Toufik Mansour, Mark Shattuck (2012)
Open Mathematics
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In this paper, a direct combinatorial proof is given of a result on permutation pairs originally due to Carlitz, Scoville, and Vaughan and later extended. It concerns showing that the series expansion of the reciprocal of a certain multiply exponential generating function has positive integer coefficients. The arguments may then be applied to related problems, one of which concerns the reciprocal of the exponential series for Fibonacci numbers.
Bijective proofs of parity theorems for partition statistics.
Shattuck, Mark (2005)
Journal of Integer Sequences [electronic only]
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Pattern avoiding partitions and Motzkin left factors
Toufik Mansour, Mark Shattuck (2011)
Open Mathematics
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Let L n, n ≥ 1, denote the sequence which counts the number of paths from the origin to the line x = n − 1 using (1, 1), (1, −1), and (1, 0) steps that never dip below the x-axis (called Motzkin left factors). The numbers L n count, among other things, certain restricted subsets of permutations and Catalan paths. In this paper, we provide new combinatorial interpretations for these numbers in terms of finite set partitions. In particular, we identify four classes of the partitions of...
Partition statistics and -Bell numbers .
Wagner, Carl G. (2004)
Journal of Integer Sequences [electronic only]
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Partitions, rooks, and symmetric functions in noncommuting variables.
Can, Mahir Bilen, Sagan, Bruce E. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Permutations, cycles and the pattern 2--13.
Parviainen, Robert (2006)
The Electronic Journal of Combinatorics [electronic only]
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Linearization relations for the generalized Bedient polynomials of the first and second kinds via their integral representations
Shy-Der Lin, Shuoh-Jung Liu, Han-Chun Lu, Hari Mohan Srivastava (2013)
Czechoslovak Mathematical Journal
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The main object of this paper is to investigate several general families of hypergeometric polynomials and their associated multiple integral representations. By suitably specializing our main results, the corresponding integral representations are deduced for such familiar classes of hypergeometric polynomials as (for example) the generalized Bedient polynomials of the first and second kinds. Each of the integral representations, which are derived in this paper, may be viewed also as...