Results 41 to 50 of about 120 (120)
Fully degenerate poly-Bernoulli numbers and polynomials
Open Mathematics, 2016 In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers.
Kim Taekyun, Kim Dae San, Seo Jong-Jin
doaj +1 more source
Consequences of a sextuple‐product identity
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 3, Page 545-549, 1987., 1987 A sextuple‐product identity, which essentially results from squaring the classical Gauss‐Jacobi triple‐product identity, is used to derive two trigonometrical identities. Several special cases of these identities are then presented and discussed.
John A. Ewell
wiley +1 more source
Classical pattern distributions in $\mathcal{S}_{n}(132)$ and $\mathcal{S}_{n}(123)$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 Classical pattern avoidance and occurrence are well studied in the symmetric group $\mathcal{S}_{n}$. In this paper, we provide explicit recurrence relations to the generating functions counting the number of classical pattern occurrence in the set of ...
Dun Qiu, Jeffrey Remmel
doaj +1 more source
Consecutive Patterns in Inversion Sequences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 An inversion sequence of length $n$ is an integer sequence $e=e_{1}e_{2}\dots e_{n}$ such that $0\leq e_{i}
Juan S. Auli, Sergi Elizalde
doaj +1 more source
Topological recursion for fully simple maps from ciliated maps [PDF]
We solve a conjecture from the first and third authors that claims that fully simple maps, which are maps with non self-intersecting disjoint boundaries, satisfy topological recursion for the exchanged spectral curve \((y, x)\), making use of the ...
Garcia-Failde, Elba +5 more
core +1 more source
Some formulas for the restricted r-Lah numbers [PDF]
, 2018 The r-Lah numbers, which we denote here by `(r)(n, k), enumerate partitions of an (n+r)-element set into k+r contents-ordered blocks in which the smallest r elements belong to distinct blocks. In this paper, we consider a restricted version `(r) m (n,
Shattuck, Mark
core +1 more source
The graham–knuth–patashnik recurrence: symmetries and continued fractions
, 2022 72 pags. -- Mathematics Subject Classifications: 05A10 (Primary); 05A15, 05A19, 30B70 (Secondary)We study the triangular array defined by the Graham–Knuth–Patashnik recurrence T (n, k) = (αn + βk + γ) T (n − 1, k) + (αn + βk + γ ) T (n − 1, k − 1) with ...
Sokal, Alan D., Salas, Jesús
core +1 more source
A Pipe Dream Perspective on Totally Symmetric Self-Complementary Plane Partitions
Forum of Mathematics, SigmaWe characterize totally symmetric self-complementary plane partitions (TSSCPP) as bounded compatible sequences satisfying a Yamanouchi-like condition. As such, they are in bijection with certain pipe dreams.
Daoji Huang, Jessica Striker
doaj +1 more source
The 26 Wilf-equivalence classes of length five quasi-consecutive patterns [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 We present two families of Wilf-equivalences for consecutive and quasi-consecutive vincular patterns. These give new proofs of the classification of consecutive patterns of length $4$ and $5$.
Evan Chen, Shyam Narayanan
doaj +1 more source
, 2009 . We study the descent distribution over the set of centrosymmetric permutations that avoid a pattern of length 3. In the most puzzling case, namely, τ = 123 and n even, our main tool is a bijection that associates a Dyck pre x of length 2n to every ...
Marilena Barnabei +2 more
core